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Finding the Fourth Proportional to 24,285.60, 36,379.80 and 16,412.40

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Solution

The fourth proportional to 24,285.60, 36,379.80 and 16,412.40 is: 24,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.60 : 36,379.80 = 16,412.40 : x
  2. Step 2: Convert to fraction form
    24,285.60/36,379.80 = 16,412.40/x
  3. Step 3: Cross multiply
    24,285.60x = 36,379.80 × 16,412.40
  4. Step 4: Simplify right side
    24,285.60x = 597,079,829.52
  5. Step 5: Solve for x
    x = 597,079,829.52/24,285.60
  6. Step 6: Final answer
    x = 24,585.76

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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.