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Finding the Fourth Proportional to 28,765.84, 39,695.38 and 16,191.40

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Solution

The fourth proportional to 28,765.84, 39,695.38 and 16,191.40 is: 22,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,765.84 : 39,695.38 = 16,191.40 : x
  2. Step 2: Convert to fraction form
    28,765.84/39,695.38 = 16,191.40/x
  3. Step 3: Cross multiply
    28,765.84x = 39,695.38 × 16,191.40
  4. Step 4: Simplify right side
    28,765.84x = 642,723,775.73
  5. Step 5: Solve for x
    x = 642,723,775.73/28,765.84
  6. Step 6: Final answer
    x = 22,343.30

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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.