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Finding the Fourth Proportional to 25,207.64, 37,778.58 and 10,399.64

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Solution

The fourth proportional to 25,207.64, 37,778.58 and 10,399.64 is: 15,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207.64 : 37,778.58 = 10,399.64 : x
  2. Step 2: Convert to fraction form
    25,207.64/37,778.58 = 10,399.64/x
  3. Step 3: Cross multiply
    25,207.64x = 37,778.58 × 10,399.64
  4. Step 4: Simplify right side
    25,207.64x = 392,883,631.71
  5. Step 5: Solve for x
    x = 392,883,631.71/25,207.64
  6. Step 6: Final answer
    x = 15,585.90

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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.