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Finding the Fourth Proportional to 25,065.92, 37,560 and 9,475.04

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Solution

The fourth proportional to 25,065.92, 37,560 and 9,475.04 is: 14,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065.92 : 37,560 = 9,475.04 : x
  2. Step 2: Convert to fraction form
    25,065.92/37,560 = 9,475.04/x
  3. Step 3: Cross multiply
    25,065.92x = 37,560 × 9,475.04
  4. Step 4: Simplify right side
    25,065.92x = 355,882,502.40
  5. Step 5: Solve for x
    x = 355,882,502.40/25,065.92
  6. Step 6: Final answer
    x = 14,197.86

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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.