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Finding the Fourth Proportional to 12,031.14, 18,002.97 and 9,931.62

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Solution

The fourth proportional to 12,031.14, 18,002.97 and 9,931.62 is: 14,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.14 : 18,002.97 = 9,931.62 : x
  2. Step 2: Convert to fraction form
    12,031.14/18,002.97 = 9,931.62/x
  3. Step 3: Cross multiply
    12,031.14x = 18,002.97 × 9,931.62
  4. Step 4: Simplify right side
    12,031.14x = 178,798,656.91
  5. Step 5: Solve for x
    x = 178,798,656.91/12,031.14
  6. Step 6: Final answer
    x = 14,861.32

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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.