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Finding the Fourth Proportional to 13,537.96, 20,306.90 and 4,770.76

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Solution

The fourth proportional to 13,537.96, 20,306.90 and 4,770.76 is: 7,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.96 : 20,306.90 = 4,770.76 : x
  2. Step 2: Convert to fraction form
    13,537.96/20,306.90 = 4,770.76/x
  3. Step 3: Cross multiply
    13,537.96x = 20,306.90 × 4,770.76
  4. Step 4: Simplify right side
    13,537.96x = 96,879,346.24
  5. Step 5: Solve for x
    x = 96,879,346.24/13,537.96
  6. Step 6: Final answer
    x = 7,156.13

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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.