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Finding the Fourth Proportional to 12,602.56, 17,391.84 and 7,567

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Solution

The fourth proportional to 12,602.56, 17,391.84 and 7,567 is: 10,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.56 : 17,391.84 = 7,567 : x
  2. Step 2: Convert to fraction form
    12,602.56/17,391.84 = 7,567/x
  3. Step 3: Cross multiply
    12,602.56x = 17,391.84 × 7,567
  4. Step 4: Simplify right side
    12,602.56x = 131,604,053.28
  5. Step 5: Solve for x
    x = 131,604,053.28/12,602.56
  6. Step 6: Final answer
    x = 10,442.64

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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.