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Finding the Fourth Proportional to 23,607.36, 32,577.88 and 12,996.76

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Solution

The fourth proportional to 23,607.36, 32,577.88 and 12,996.76 is: 17,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.36 : 32,577.88 = 12,996.76 : x
  2. Step 2: Convert to fraction form
    23,607.36/32,577.88 = 12,996.76/x
  3. Step 3: Cross multiply
    23,607.36x = 32,577.88 × 12,996.76
  4. Step 4: Simplify right side
    23,607.36x = 423,406,887.67
  5. Step 5: Solve for x
    x = 423,406,887.67/23,607.36
  6. Step 6: Final answer
    x = 17,935.38

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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.