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Finding the Fourth Proportional to 24,724.26, 37,088.67 and 8,084.38

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Solution

The fourth proportional to 24,724.26, 37,088.67 and 8,084.38 is: 12,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.26 : 37,088.67 = 8,084.38 : x
  2. Step 2: Convert to fraction form
    24,724.26/37,088.67 = 8,084.38/x
  3. Step 3: Cross multiply
    24,724.26x = 37,088.67 × 8,084.38
  4. Step 4: Simplify right side
    24,724.26x = 299,838,809.25
  5. Step 5: Solve for x
    x = 299,838,809.25/24,724.26
  6. Step 6: Final answer
    x = 12,127.31

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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.