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Finding the Fourth Proportional to 15,522.24, 21,408.14 and 9,543.24

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Solution

The fourth proportional to 15,522.24, 21,408.14 and 9,543.24 is: 13,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522.24 : 21,408.14 = 9,543.24 : x
  2. Step 2: Convert to fraction form
    15,522.24/21,408.14 = 9,543.24/x
  3. Step 3: Cross multiply
    15,522.24x = 21,408.14 × 9,543.24
  4. Step 4: Simplify right side
    15,522.24x = 204,303,017.97
  5. Step 5: Solve for x
    x = 204,303,017.97/15,522.24
  6. Step 6: Final answer
    x = 13,161.95

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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.