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Finding the Fourth Proportional to 14,854.34, 22,290.75 and 13,470.18

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Solution

The fourth proportional to 14,854.34, 22,290.75 and 13,470.18 is: 20,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.34 : 22,290.75 = 13,470.18 : x
  2. Step 2: Convert to fraction form
    14,854.34/22,290.75 = 13,470.18/x
  3. Step 3: Cross multiply
    14,854.34x = 22,290.75 × 13,470.18
  4. Step 4: Simplify right side
    14,854.34x = 300,260,414.84
  5. Step 5: Solve for x
    x = 300,260,414.84/14,854.34
  6. Step 6: Final answer
    x = 20,213.65

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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.