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Finding the Fourth Proportional to 25,097.07, 37,651.17 and 7,565.64

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Solution

The fourth proportional to 25,097.07, 37,651.17 and 7,565.64 is: 11,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.07 : 37,651.17 = 7,565.64 : x
  2. Step 2: Convert to fraction form
    25,097.07/37,651.17 = 7,565.64/x
  3. Step 3: Cross multiply
    25,097.07x = 37,651.17 × 7,565.64
  4. Step 4: Simplify right side
    25,097.07x = 284,855,197.80
  5. Step 5: Solve for x
    x = 284,855,197.80/25,097.07
  6. Step 6: Final answer
    x = 11,350.14

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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.