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Finding the Fourth Proportional to 24,565.08, 36,851.28 and 8,774.16

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Solution

The fourth proportional to 24,565.08, 36,851.28 and 8,774.16 is: 13,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.08 : 36,851.28 = 8,774.16 : x
  2. Step 2: Convert to fraction form
    24,565.08/36,851.28 = 8,774.16/x
  3. Step 3: Cross multiply
    24,565.08x = 36,851.28 × 8,774.16
  4. Step 4: Simplify right side
    24,565.08x = 323,339,026.92
  5. Step 5: Solve for x
    x = 323,339,026.92/24,565.08
  6. Step 6: Final answer
    x = 13,162.55

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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.