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Finding the Fourth Proportional to 20,262.96, 30,397.48 and 7,113.02

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Solution

The fourth proportional to 20,262.96, 30,397.48 and 7,113.02 is: 10,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.96 : 30,397.48 = 7,113.02 : x
  2. Step 2: Convert to fraction form
    20,262.96/30,397.48 = 7,113.02/x
  3. Step 3: Cross multiply
    20,262.96x = 30,397.48 × 7,113.02
  4. Step 4: Simplify right side
    20,262.96x = 216,217,713.42
  5. Step 5: Solve for x
    x = 216,217,713.42/20,262.96
  6. Step 6: Final answer
    x = 10,670.59

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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.