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Finding the Fourth Proportional to 16,393.68, 24,582.84 and 5,442

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Solution

The fourth proportional to 16,393.68, 24,582.84 and 5,442 is: 8,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393.68 : 24,582.84 = 5,442 : x
  2. Step 2: Convert to fraction form
    16,393.68/24,582.84 = 5,442/x
  3. Step 3: Cross multiply
    16,393.68x = 24,582.84 × 5,442
  4. Step 4: Simplify right side
    16,393.68x = 133,779,815.28
  5. Step 5: Solve for x
    x = 133,779,815.28/16,393.68
  6. Step 6: Final answer
    x = 8,160.45

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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.