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Finding the Fourth Proportional to 13,470.68, 20,215.26 and 4,705.61

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Solution

The fourth proportional to 13,470.68, 20,215.26 and 4,705.61 is: 7,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.68 : 20,215.26 = 4,705.61 : x
  2. Step 2: Convert to fraction form
    13,470.68/20,215.26 = 4,705.61/x
  3. Step 3: Cross multiply
    13,470.68x = 20,215.26 × 4,705.61
  4. Step 4: Simplify right side
    13,470.68x = 95,125,028.53
  5. Step 5: Solve for x
    x = 95,125,028.53/13,470.68
  6. Step 6: Final answer
    x = 7,061.63

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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.