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Finding the Fourth Proportional to 16,765.38, 23,139.05 and 9,695.88

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Solution

The fourth proportional to 16,765.38, 23,139.05 and 9,695.88 is: 13,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.38 : 23,139.05 = 9,695.88 : x
  2. Step 2: Convert to fraction form
    16,765.38/23,139.05 = 9,695.88/x
  3. Step 3: Cross multiply
    16,765.38x = 23,139.05 × 9,695.88
  4. Step 4: Simplify right side
    16,765.38x = 224,353,403.63
  5. Step 5: Solve for x
    x = 224,353,403.63/16,765.38
  6. Step 6: Final answer
    x = 13,381.95

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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.