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Finding the Fourth Proportional to 15,172.96, 20,926.82 and 9,869.47

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Solution

The fourth proportional to 15,172.96, 20,926.82 and 9,869.47 is: 13,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.96 : 20,926.82 = 9,869.47 : x
  2. Step 2: Convert to fraction form
    15,172.96/20,926.82 = 9,869.47/x
  3. Step 3: Cross multiply
    15,172.96x = 20,926.82 × 9,869.47
  4. Step 4: Simplify right side
    15,172.96x = 206,536,572.84
  5. Step 5: Solve for x
    x = 206,536,572.84/15,172.96
  6. Step 6: Final answer
    x = 13,612.15

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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.