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Finding the Fourth Proportional to 16,032.88, 22,124.96 and 8,959.35

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Solution

The fourth proportional to 16,032.88, 22,124.96 and 8,959.35 is: 12,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.88 : 22,124.96 = 8,959.35 : x
  2. Step 2: Convert to fraction form
    16,032.88/22,124.96 = 8,959.35/x
  3. Step 3: Cross multiply
    16,032.88x = 22,124.96 × 8,959.35
  4. Step 4: Simplify right side
    16,032.88x = 198,225,260.38
  5. Step 5: Solve for x
    x = 198,225,260.38/16,032.88
  6. Step 6: Final answer
    x = 12,363.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.