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Finding the Fourth Proportional to 28,259.52, 42,387.31 and 8,538.18

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Solution

The fourth proportional to 28,259.52, 42,387.31 and 8,538.18 is: 12,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,259.52 : 42,387.31 = 8,538.18 : x
  2. Step 2: Convert to fraction form
    28,259.52/42,387.31 = 8,538.18/x
  3. Step 3: Cross multiply
    28,259.52x = 42,387.31 × 8,538.18
  4. Step 4: Simplify right side
    28,259.52x = 361,910,482.50
  5. Step 5: Solve for x
    x = 361,910,482.50/28,259.52
  6. Step 6: Final answer
    x = 12,806.67

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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.