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Finding the Fourth Proportional to 24,269.94, 36,403.59 and 8,470.08

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Solution

The fourth proportional to 24,269.94, 36,403.59 and 8,470.08 is: 12,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.94 : 36,403.59 = 8,470.08 : x
  2. Step 2: Convert to fraction form
    24,269.94/36,403.59 = 8,470.08/x
  3. Step 3: Cross multiply
    24,269.94x = 36,403.59 × 8,470.08
  4. Step 4: Simplify right side
    24,269.94x = 308,341,319.59
  5. Step 5: Solve for x
    x = 308,341,319.59/24,269.94
  6. Step 6: Final answer
    x = 12,704.66

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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.