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Finding the Fourth Proportional to 15,772.54, 23,693.15 and 9,535.49

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Solution

The fourth proportional to 15,772.54, 23,693.15 and 9,535.49 is: 14,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.54 : 23,693.15 = 9,535.49 : x
  2. Step 2: Convert to fraction form
    15,772.54/23,693.15 = 9,535.49/x
  3. Step 3: Cross multiply
    15,772.54x = 23,693.15 × 9,535.49
  4. Step 4: Simplify right side
    15,772.54x = 225,925,789.12
  5. Step 5: Solve for x
    x = 225,925,789.12/15,772.54
  6. Step 6: Final answer
    x = 14,324.00

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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.