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Finding the Fourth Proportional to 12,294.24, 16,959.06 and 7,575.18

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Solution

The fourth proportional to 12,294.24, 16,959.06 and 7,575.18 is: 10,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.24 : 16,959.06 = 7,575.18 : x
  2. Step 2: Convert to fraction form
    12,294.24/16,959.06 = 7,575.18/x
  3. Step 3: Cross multiply
    12,294.24x = 16,959.06 × 7,575.18
  4. Step 4: Simplify right side
    12,294.24x = 128,467,932.13
  5. Step 5: Solve for x
    x = 128,467,932.13/12,294.24
  6. Step 6: Final answer
    x = 10,449.44

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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.