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Finding the Fourth Proportional to 15,737.12, 23,605.75 and 6,377.32

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Solution

The fourth proportional to 15,737.12, 23,605.75 and 6,377.32 is: 9,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.12 : 23,605.75 = 6,377.32 : x
  2. Step 2: Convert to fraction form
    15,737.12/23,605.75 = 6,377.32/x
  3. Step 3: Cross multiply
    15,737.12x = 23,605.75 × 6,377.32
  4. Step 4: Simplify right side
    15,737.12x = 150,541,290.41
  5. Step 5: Solve for x
    x = 150,541,290.41/15,737.12
  6. Step 6: Final answer
    x = 9,566.00

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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.