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Finding the Fourth Proportional to 11,586.30, 17,337.93 and 10,031.68

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Solution

The fourth proportional to 11,586.30, 17,337.93 and 10,031.68 is: 15,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.30 : 17,337.93 = 10,031.68 : x
  2. Step 2: Convert to fraction form
    11,586.30/17,337.93 = 10,031.68/x
  3. Step 3: Cross multiply
    11,586.30x = 17,337.93 × 10,031.68
  4. Step 4: Simplify right side
    11,586.30x = 173,928,478.93
  5. Step 5: Solve for x
    x = 173,928,478.93/11,586.30
  6. Step 6: Final answer
    x = 15,011.56

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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.