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Finding the Fourth Proportional to 24,575.16, 36,862.74 and 6,107.16

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Solution

The fourth proportional to 24,575.16, 36,862.74 and 6,107.16 is: 9,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.16 : 36,862.74 = 6,107.16 : x
  2. Step 2: Convert to fraction form
    24,575.16/36,862.74 = 6,107.16/x
  3. Step 3: Cross multiply
    24,575.16x = 36,862.74 × 6,107.16
  4. Step 4: Simplify right side
    24,575.16x = 225,126,651.22
  5. Step 5: Solve for x
    x = 225,126,651.22/24,575.16
  6. Step 6: Final answer
    x = 9,160.74

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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.