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Finding the Fourth Proportional to 16,275.78, 24,410.25 and 4,585.86

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Solution

The fourth proportional to 16,275.78, 24,410.25 and 4,585.86 is: 6,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.78 : 24,410.25 = 4,585.86 : x
  2. Step 2: Convert to fraction form
    16,275.78/24,410.25 = 4,585.86/x
  3. Step 3: Cross multiply
    16,275.78x = 24,410.25 × 4,585.86
  4. Step 4: Simplify right side
    16,275.78x = 111,941,989.07
  5. Step 5: Solve for x
    x = 111,941,989.07/16,275.78
  6. Step 6: Final answer
    x = 6,877.83

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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.