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Finding the Fourth Proportional to 16,031.32, 22,124.14 and 8,861.16

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Solution

The fourth proportional to 16,031.32, 22,124.14 and 8,861.16 is: 12,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.32 : 22,124.14 = 8,861.16 : x
  2. Step 2: Convert to fraction form
    16,031.32/22,124.14 = 8,861.16/x
  3. Step 3: Cross multiply
    16,031.32x = 22,124.14 × 8,861.16
  4. Step 4: Simplify right side
    16,031.32x = 196,045,544.40
  5. Step 5: Solve for x
    x = 196,045,544.40/16,031.32
  6. Step 6: Final answer
    x = 12,228.91

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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.