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Finding the Fourth Proportional to 25,151.46, 37,743.57 and 9,569.22

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Solution

The fourth proportional to 25,151.46, 37,743.57 and 9,569.22 is: 14,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,151.46 : 37,743.57 = 9,569.22 : x
  2. Step 2: Convert to fraction form
    25,151.46/37,743.57 = 9,569.22/x
  3. Step 3: Cross multiply
    25,151.46x = 37,743.57 × 9,569.22
  4. Step 4: Simplify right side
    25,151.46x = 361,176,524.92
  5. Step 5: Solve for x
    x = 361,176,524.92/25,151.46
  6. Step 6: Final answer
    x = 14,360.06

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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.