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Finding the Fourth Proportional to 15,012.81, 20,725.20 and 9,711.90

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Solution

The fourth proportional to 15,012.81, 20,725.20 and 9,711.90 is: 13,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.81 : 20,725.20 = 9,711.90 : x
  2. Step 2: Convert to fraction form
    15,012.81/20,725.20 = 9,711.90/x
  3. Step 3: Cross multiply
    15,012.81x = 20,725.20 × 9,711.90
  4. Step 4: Simplify right side
    15,012.81x = 201,281,069.88
  5. Step 5: Solve for x
    x = 201,281,069.88/15,012.81
  6. Step 6: Final answer
    x = 13,407.29

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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.