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Finding the Fourth Proportional to 12,915.44, 19,338.36 and 8,210

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Solution

The fourth proportional to 12,915.44, 19,338.36 and 8,210 is: 12,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.44 : 19,338.36 = 8,210 : x
  2. Step 2: Convert to fraction form
    12,915.44/19,338.36 = 8,210/x
  3. Step 3: Cross multiply
    12,915.44x = 19,338.36 × 8,210
  4. Step 4: Simplify right side
    12,915.44x = 158,767,935.60
  5. Step 5: Solve for x
    x = 158,767,935.60/12,915.44
  6. Step 6: Final answer
    x = 12,292.88

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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.