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Finding the Fourth Proportional to 17,530.56, 26,294.76 and 7,142.04

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Solution

The fourth proportional to 17,530.56, 26,294.76 and 7,142.04 is: 10,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.56 : 26,294.76 = 7,142.04 : x
  2. Step 2: Convert to fraction form
    17,530.56/26,294.76 = 7,142.04/x
  3. Step 3: Cross multiply
    17,530.56x = 26,294.76 × 7,142.04
  4. Step 4: Simplify right side
    17,530.56x = 187,798,227.71
  5. Step 5: Solve for x
    x = 187,798,227.71/17,530.56
  6. Step 6: Final answer
    x = 10,712.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.