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Finding the Fourth Proportional to 14,538.70, 20,061.66 and 8,165.62

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Solution

The fourth proportional to 14,538.70, 20,061.66 and 8,165.62 is: 11,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.70 : 20,061.66 = 8,165.62 : x
  2. Step 2: Convert to fraction form
    14,538.70/20,061.66 = 8,165.62/x
  3. Step 3: Cross multiply
    14,538.70x = 20,061.66 × 8,165.62
  4. Step 4: Simplify right side
    14,538.70x = 163,815,892.13
  5. Step 5: Solve for x
    x = 163,815,892.13/14,538.70
  6. Step 6: Final answer
    x = 11,267.57

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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.