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Finding the Fourth Proportional to 12,715.82, 17,548.86 and 7,339.22

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Solution

The fourth proportional to 12,715.82, 17,548.86 and 7,339.22 is: 10,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.82 : 17,548.86 = 7,339.22 : x
  2. Step 2: Convert to fraction form
    12,715.82/17,548.86 = 7,339.22/x
  3. Step 3: Cross multiply
    12,715.82x = 17,548.86 × 7,339.22
  4. Step 4: Simplify right side
    12,715.82x = 128,794,944.29
  5. Step 5: Solve for x
    x = 128,794,944.29/12,715.82
  6. Step 6: Final answer
    x = 10,128.72

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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.