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Finding the Fourth Proportional to 25,083.69, 37,640.18 and 9,502.53

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Solution

The fourth proportional to 25,083.69, 37,640.18 and 9,502.53 is: 14,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083.69 : 37,640.18 = 9,502.53 : x
  2. Step 2: Convert to fraction form
    25,083.69/37,640.18 = 9,502.53/x
  3. Step 3: Cross multiply
    25,083.69x = 37,640.18 × 9,502.53
  4. Step 4: Simplify right side
    25,083.69x = 357,676,939.66
  5. Step 5: Solve for x
    x = 357,676,939.66/25,083.69
  6. Step 6: Final answer
    x = 14,259.34

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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.