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Finding the Fourth Proportional to 10,348.10, 15,522.15 and 9,224.90

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Solution

The fourth proportional to 10,348.10, 15,522.15 and 9,224.90 is: 13,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.10 : 15,522.15 = 9,224.90 : x
  2. Step 2: Convert to fraction form
    10,348.10/15,522.15 = 9,224.90/x
  3. Step 3: Cross multiply
    10,348.10x = 15,522.15 × 9,224.90
  4. Step 4: Simplify right side
    10,348.10x = 143,190,281.54
  5. Step 5: Solve for x
    x = 143,190,281.54/10,348.10
  6. Step 6: Final answer
    x = 13,837.35

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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.