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Finding the Fourth Proportional to 16,456.25, 24,681.84 and 5,362.85

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Solution

The fourth proportional to 16,456.25, 24,681.84 and 5,362.85 is: 8,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.25 : 24,681.84 = 5,362.85 : x
  2. Step 2: Convert to fraction form
    16,456.25/24,681.84 = 5,362.85/x
  3. Step 3: Cross multiply
    16,456.25x = 24,681.84 × 5,362.85
  4. Step 4: Simplify right side
    16,456.25x = 132,364,882.23
  5. Step 5: Solve for x
    x = 132,364,882.23/16,456.25
  6. Step 6: Final answer
    x = 8,043.44

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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.