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Finding the Fourth Proportional to 14,761.76, 20,376.92 and 10,814.23

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Solution

The fourth proportional to 14,761.76, 20,376.92 and 10,814.23 is: 14,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.76 : 20,376.92 = 10,814.23 : x
  2. Step 2: Convert to fraction form
    14,761.76/20,376.92 = 10,814.23/x
  3. Step 3: Cross multiply
    14,761.76x = 20,376.92 × 10,814.23
  4. Step 4: Simplify right side
    14,761.76x = 220,360,543.62
  5. Step 5: Solve for x
    x = 220,360,543.62/14,761.76
  6. Step 6: Final answer
    x = 14,927.80

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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.