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Finding the Fourth Proportional to 15,074.56, 22,622.16 and 9,213.28

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Solution

The fourth proportional to 15,074.56, 22,622.16 and 9,213.28 is: 13,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.56 : 22,622.16 = 9,213.28 : x
  2. Step 2: Convert to fraction form
    15,074.56/22,622.16 = 9,213.28/x
  3. Step 3: Cross multiply
    15,074.56x = 22,622.16 × 9,213.28
  4. Step 4: Simplify right side
    15,074.56x = 208,424,294.28
  5. Step 5: Solve for x
    x = 208,424,294.28/15,074.56
  6. Step 6: Final answer
    x = 13,826.23

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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.