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Finding the Fourth Proportional to 15,131.28, 22,696.68 and 9,209.76

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Solution

The fourth proportional to 15,131.28, 22,696.68 and 9,209.76 is: 13,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.28 : 22,696.68 = 9,209.76 : x
  2. Step 2: Convert to fraction form
    15,131.28/22,696.68 = 9,209.76/x
  3. Step 3: Cross multiply
    15,131.28x = 22,696.68 × 9,209.76
  4. Step 4: Simplify right side
    15,131.28x = 209,030,975.60
  5. Step 5: Solve for x
    x = 209,030,975.60/15,131.28
  6. Step 6: Final answer
    x = 13,814.49

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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.