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Finding the Fourth Proportional to 12,642.32, 17,447.28 and 7,053.36

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Solution

The fourth proportional to 12,642.32, 17,447.28 and 7,053.36 is: 9,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.32 : 17,447.28 = 7,053.36 : x
  2. Step 2: Convert to fraction form
    12,642.32/17,447.28 = 7,053.36/x
  3. Step 3: Cross multiply
    12,642.32x = 17,447.28 × 7,053.36
  4. Step 4: Simplify right side
    12,642.32x = 123,061,946.86
  5. Step 5: Solve for x
    x = 123,061,946.86/12,642.32
  6. Step 6: Final answer
    x = 9,734.13

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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.