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Finding the Fourth Proportional to 23,767,840, 32,800,016.64 and 12,902,824

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Solution

The fourth proportional to 23,767,840, 32,800,016.64 and 12,902,824 is: 17,806,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767,840 : 32,800,016.64 = 12,902,824 : x
  2. Step 2: Convert to fraction form
    23,767,840/32,800,016.64 = 12,902,824/x
  3. Step 3: Cross multiply
    23,767,840x = 32,800,016.64 × 12,902,824
  4. Step 4: Simplify right side
    23,767,840x = 423,212,841,902,991.38
  5. Step 5: Solve for x
    x = 423,212,841,902,991.38/23,767,840
  6. Step 6: Final answer
    x = 17,806,112.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.