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Finding the Fourth Proportional to 25,097.16, 37,645.20 and 7,566.60

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Solution

The fourth proportional to 25,097.16, 37,645.20 and 7,566.60 is: 11,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.16 : 37,645.20 = 7,566.60 : x
  2. Step 2: Convert to fraction form
    25,097.16/37,645.20 = 7,566.60/x
  3. Step 3: Cross multiply
    25,097.16x = 37,645.20 × 7,566.60
  4. Step 4: Simplify right side
    25,097.16x = 284,846,170.32
  5. Step 5: Solve for x
    x = 284,846,170.32/25,097.16
  6. Step 6: Final answer
    x = 11,349.74

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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.