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Finding the Fourth Proportional to 14,600.13, 20,148.17 and 7,976.13

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Solution

The fourth proportional to 14,600.13, 20,148.17 and 7,976.13 is: 11,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.13 : 20,148.17 = 7,976.13 : x
  2. Step 2: Convert to fraction form
    14,600.13/20,148.17 = 7,976.13/x
  3. Step 3: Cross multiply
    14,600.13x = 20,148.17 × 7,976.13
  4. Step 4: Simplify right side
    14,600.13x = 160,704,423.18
  5. Step 5: Solve for x
    x = 160,704,423.18/14,600.13
  6. Step 6: Final answer
    x = 11,007.05

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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.