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Finding the Fourth Proportional to 14,648.49, 20,214.99 and 7,934.13

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Solution

The fourth proportional to 14,648.49, 20,214.99 and 7,934.13 is: 10,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.49 : 20,214.99 = 7,934.13 : x
  2. Step 2: Convert to fraction form
    14,648.49/20,214.99 = 7,934.13/x
  3. Step 3: Cross multiply
    14,648.49x = 20,214.99 × 7,934.13
  4. Step 4: Simplify right side
    14,648.49x = 160,388,358.61
  5. Step 5: Solve for x
    x = 160,388,358.61/14,648.49
  6. Step 6: Final answer
    x = 10,949.14

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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.