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Finding the Fourth Proportional to 28,309.85, 42,470.82 and 9,589.24

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Solution

The fourth proportional to 28,309.85, 42,470.82 and 9,589.24 is: 14,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309.85 : 42,470.82 = 9,589.24 : x
  2. Step 2: Convert to fraction form
    28,309.85/42,470.82 = 9,589.24/x
  3. Step 3: Cross multiply
    28,309.85x = 42,470.82 × 9,589.24
  4. Step 4: Simplify right side
    28,309.85x = 407,262,885.98
  5. Step 5: Solve for x
    x = 407,262,885.98/28,309.85
  6. Step 6: Final answer
    x = 14,385.91

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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.