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Finding the Fourth Proportional to 15,200.96, 20,986.92 and 10,428.89

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Solution

The fourth proportional to 15,200.96, 20,986.92 and 10,428.89 is: 14,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.96 : 20,986.92 = 10,428.89 : x
  2. Step 2: Convert to fraction form
    15,200.96/20,986.92 = 10,428.89/x
  3. Step 3: Cross multiply
    15,200.96x = 20,986.92 × 10,428.89
  4. Step 4: Simplify right side
    15,200.96x = 218,870,175.18
  5. Step 5: Solve for x
    x = 218,870,175.18/15,200.96
  6. Step 6: Final answer
    x = 14,398.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.