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Finding the Fourth Proportional to 15,172.56, 22,769.16 and 9,311.28

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Solution

The fourth proportional to 15,172.56, 22,769.16 and 9,311.28 is: 13,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.56 : 22,769.16 = 9,311.28 : x
  2. Step 2: Convert to fraction form
    15,172.56/22,769.16 = 9,311.28/x
  3. Step 3: Cross multiply
    15,172.56x = 22,769.16 × 9,311.28
  4. Step 4: Simplify right side
    15,172.56x = 212,010,024.12
  5. Step 5: Solve for x
    x = 212,010,024.12/15,172.56
  6. Step 6: Final answer
    x = 13,973.25

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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.