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Finding the Fourth Proportional to 15,542.40, 23,335.20 and 9,710.40

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Solution

The fourth proportional to 15,542.40, 23,335.20 and 9,710.40 is: 14,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.40 : 23,335.20 = 9,710.40 : x
  2. Step 2: Convert to fraction form
    15,542.40/23,335.20 = 9,710.40/x
  3. Step 3: Cross multiply
    15,542.40x = 23,335.20 × 9,710.40
  4. Step 4: Simplify right side
    15,542.40x = 226,594,126.08
  5. Step 5: Solve for x
    x = 226,594,126.08/15,542.40
  6. Step 6: Final answer
    x = 14,579.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.