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Finding the Fourth Proportional to 14,648.42, 20,214.82 and 7,934.10

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Solution

The fourth proportional to 14,648.42, 20,214.82 and 7,934.10 is: 10,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.42 : 20,214.82 = 7,934.10 : x
  2. Step 2: Convert to fraction form
    14,648.42/20,214.82 = 7,934.10/x
  3. Step 3: Cross multiply
    14,648.42x = 20,214.82 × 7,934.10
  4. Step 4: Simplify right side
    14,648.42x = 160,386,403.36
  5. Step 5: Solve for x
    x = 160,386,403.36/14,648.42
  6. Step 6: Final answer
    x = 10,949.06

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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.