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Finding the Fourth Proportional to 19,645.64, 29,470.20 and 5,605.40

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Solution

The fourth proportional to 19,645.64, 29,470.20 and 5,605.40 is: 8,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.64 : 29,470.20 = 5,605.40 : x
  2. Step 2: Convert to fraction form
    19,645.64/29,470.20 = 5,605.40/x
  3. Step 3: Cross multiply
    19,645.64x = 29,470.20 × 5,605.40
  4. Step 4: Simplify right side
    19,645.64x = 165,192,359.03
  5. Step 5: Solve for x
    x = 165,192,359.03/19,645.64
  6. Step 6: Final answer
    x = 8,408.60

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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.