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Finding the Fourth Proportional to 14,113.76, 21,171.47 and 4,753

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Solution

The fourth proportional to 14,113.76, 21,171.47 and 4,753 is: 7,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.76 : 21,171.47 = 4,753 : x
  2. Step 2: Convert to fraction form
    14,113.76/21,171.47 = 4,753/x
  3. Step 3: Cross multiply
    14,113.76x = 21,171.47 × 4,753
  4. Step 4: Simplify right side
    14,113.76x = 100,627,996.91
  5. Step 5: Solve for x
    x = 100,627,996.91/14,113.76
  6. Step 6: Final answer
    x = 7,129.78

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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.