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Finding the Fourth Proportional to 14,470.18, 21,705.53 and 5,109.97

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Solution

The fourth proportional to 14,470.18, 21,705.53 and 5,109.97 is: 7,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.18 : 21,705.53 = 5,109.97 : x
  2. Step 2: Convert to fraction form
    14,470.18/21,705.53 = 5,109.97/x
  3. Step 3: Cross multiply
    14,470.18x = 21,705.53 × 5,109.97
  4. Step 4: Simplify right side
    14,470.18x = 110,914,607.13
  5. Step 5: Solve for x
    x = 110,914,607.13/14,470.18
  6. Step 6: Final answer
    x = 7,665.05

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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.