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Finding the Fourth Proportional to 16,285.64, 24,425.91 and 6,288.95

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Solution

The fourth proportional to 16,285.64, 24,425.91 and 6,288.95 is: 9,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.64 : 24,425.91 = 6,288.95 : x
  2. Step 2: Convert to fraction form
    16,285.64/24,425.91 = 6,288.95/x
  3. Step 3: Cross multiply
    16,285.64x = 24,425.91 × 6,288.95
  4. Step 4: Simplify right side
    16,285.64x = 153,613,387.76
  5. Step 5: Solve for x
    x = 153,613,387.76/16,285.64
  6. Step 6: Final answer
    x = 9,432.45

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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.