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Finding the Fourth Proportional to 14,648.54, 20,215.10 and 7,934.18

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Solution

The fourth proportional to 14,648.54, 20,215.10 and 7,934.18 is: 10,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.54 : 20,215.10 = 7,934.18 : x
  2. Step 2: Convert to fraction form
    14,648.54/20,215.10 = 7,934.18/x
  3. Step 3: Cross multiply
    14,648.54x = 20,215.10 × 7,934.18
  4. Step 4: Simplify right side
    14,648.54x = 160,390,242.12
  5. Step 5: Solve for x
    x = 160,390,242.12/14,648.54
  6. Step 6: Final answer
    x = 10,949.23

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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.