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Finding the Fourth Proportional to 16,031.76, 22,124.24 and 8,958.63

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Solution

The fourth proportional to 16,031.76, 22,124.24 and 8,958.63 is: 12,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.76 : 22,124.24 = 8,958.63 : x
  2. Step 2: Convert to fraction form
    16,031.76/22,124.24 = 8,958.63/x
  3. Step 3: Cross multiply
    16,031.76x = 22,124.24 × 8,958.63
  4. Step 4: Simplify right side
    16,031.76x = 198,202,835.40
  5. Step 5: Solve for x
    x = 198,202,835.40/16,031.76
  6. Step 6: Final answer
    x = 12,363.14

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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.