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Finding the Fourth Proportional to 16,411.12, 24,601.52 and 6,548

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Solution

The fourth proportional to 16,411.12, 24,601.52 and 6,548 is: 9,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.12 : 24,601.52 = 6,548 : x
  2. Step 2: Convert to fraction form
    16,411.12/24,601.52 = 6,548/x
  3. Step 3: Cross multiply
    16,411.12x = 24,601.52 × 6,548
  4. Step 4: Simplify right side
    16,411.12x = 161,090,752.96
  5. Step 5: Solve for x
    x = 161,090,752.96/16,411.12
  6. Step 6: Final answer
    x = 9,815.95

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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.