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Finding the Fourth Proportional to 17,427.85, 24,049.53 and 9,470.07

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Solution

The fourth proportional to 17,427.85, 24,049.53 and 9,470.07 is: 13,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427.85 : 24,049.53 = 9,470.07 : x
  2. Step 2: Convert to fraction form
    17,427.85/24,049.53 = 9,470.07/x
  3. Step 3: Cross multiply
    17,427.85x = 24,049.53 × 9,470.07
  4. Step 4: Simplify right side
    17,427.85x = 227,750,732.57
  5. Step 5: Solve for x
    x = 227,750,732.57/17,427.85
  6. Step 6: Final answer
    x = 13,068.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.