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Finding the Fourth Proportional to 23,178.51, 31,986.90 and 13,747.14

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Solution

The fourth proportional to 23,178.51, 31,986.90 and 13,747.14 is: 18,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.51 : 31,986.90 = 13,747.14 : x
  2. Step 2: Convert to fraction form
    23,178.51/31,986.90 = 13,747.14/x
  3. Step 3: Cross multiply
    23,178.51x = 31,986.90 × 13,747.14
  4. Step 4: Simplify right side
    23,178.51x = 439,728,392.47
  5. Step 5: Solve for x
    x = 439,728,392.47/23,178.51
  6. Step 6: Final answer
    x = 18,971.38

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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.