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Finding the Fourth Proportional to 12,478.80, 17,214.53 and 7,439.47

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Solution

The fourth proportional to 12,478.80, 17,214.53 and 7,439.47 is: 10,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.80 : 17,214.53 = 7,439.47 : x
  2. Step 2: Convert to fraction form
    12,478.80/17,214.53 = 7,439.47/x
  3. Step 3: Cross multiply
    12,478.80x = 17,214.53 × 7,439.47
  4. Step 4: Simplify right side
    12,478.80x = 128,067,041.13
  5. Step 5: Solve for x
    x = 128,067,041.13/12,478.80
  6. Step 6: Final answer
    x = 10,262.77

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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.