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Finding the Fourth Proportional to 28,595.71, 42,899.28 and 9,876.43

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Solution

The fourth proportional to 28,595.71, 42,899.28 and 9,876.43 is: 14,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,595.71 : 42,899.28 = 9,876.43 : x
  2. Step 2: Convert to fraction form
    28,595.71/42,899.28 = 9,876.43/x
  3. Step 3: Cross multiply
    28,595.71x = 42,899.28 × 9,876.43
  4. Step 4: Simplify right side
    28,595.71x = 423,691,735.97
  5. Step 5: Solve for x
    x = 423,691,735.97/28,595.71
  6. Step 6: Final answer
    x = 14,816.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.