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Finding the Fourth Proportional to 15,538.50, 21,443.81 and 8,824.14

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Solution

The fourth proportional to 15,538.50, 21,443.81 and 8,824.14 is: 12,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.50 : 21,443.81 = 8,824.14 : x
  2. Step 2: Convert to fraction form
    15,538.50/21,443.81 = 8,824.14/x
  3. Step 3: Cross multiply
    15,538.50x = 21,443.81 × 8,824.14
  4. Step 4: Simplify right side
    15,538.50x = 189,223,137.45
  5. Step 5: Solve for x
    x = 189,223,137.45/15,538.50
  6. Step 6: Final answer
    x = 12,177.70

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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.