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Finding the Fourth Proportional to 15,524.28, 21,425.09 and 9,152.82

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Solution

The fourth proportional to 15,524.28, 21,425.09 and 9,152.82 is: 12,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.28 : 21,425.09 = 9,152.82 : x
  2. Step 2: Convert to fraction form
    15,524.28/21,425.09 = 9,152.82/x
  3. Step 3: Cross multiply
    15,524.28x = 21,425.09 × 9,152.82
  4. Step 4: Simplify right side
    15,524.28x = 196,099,946.49
  5. Step 5: Solve for x
    x = 196,099,946.49/15,524.28
  6. Step 6: Final answer
    x = 12,631.82

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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.