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Finding the Fourth Proportional to 25,287.14, 37,931.41 and 6,566.76

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Solution

The fourth proportional to 25,287.14, 37,931.41 and 6,566.76 is: 9,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.14 : 37,931.41 = 6,566.76 : x
  2. Step 2: Convert to fraction form
    25,287.14/37,931.41 = 6,566.76/x
  3. Step 3: Cross multiply
    25,287.14x = 37,931.41 × 6,566.76
  4. Step 4: Simplify right side
    25,287.14x = 249,086,433.10
  5. Step 5: Solve for x
    x = 249,086,433.10/25,287.14
  6. Step 6: Final answer
    x = 9,850.32

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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.