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Finding the Fourth Proportional to 23,265.90, 32,107.05 and 12,655.71

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Solution

The fourth proportional to 23,265.90, 32,107.05 and 12,655.71 is: 17,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.90 : 32,107.05 = 12,655.71 : x
  2. Step 2: Convert to fraction form
    23,265.90/32,107.05 = 12,655.71/x
  3. Step 3: Cross multiply
    23,265.90x = 32,107.05 × 12,655.71
  4. Step 4: Simplify right side
    23,265.90x = 406,337,513.76
  5. Step 5: Solve for x
    x = 406,337,513.76/23,265.90
  6. Step 6: Final answer
    x = 17,464.94

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