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Finding the Fourth Proportional to 28,402.20, 42,615 and 11,765.58

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Solution

The fourth proportional to 28,402.20, 42,615 and 11,765.58 is: 17,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402.20 : 42,615 = 11,765.58 : x
  2. Step 2: Convert to fraction form
    28,402.20/42,615 = 11,765.58/x
  3. Step 3: Cross multiply
    28,402.20x = 42,615 × 11,765.58
  4. Step 4: Simplify right side
    28,402.20x = 501,390,191.70
  5. Step 5: Solve for x
    x = 501,390,191.70/28,402.20
  6. Step 6: Final answer
    x = 17,653.22

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