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Finding the Fourth Proportional to 12,915.36, 17,823.78 and 10,116

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Solution

The fourth proportional to 12,915.36, 17,823.78 and 10,116 is: 13,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.36 : 17,823.78 = 10,116 : x
  2. Step 2: Convert to fraction form
    12,915.36/17,823.78 = 10,116/x
  3. Step 3: Cross multiply
    12,915.36x = 17,823.78 × 10,116
  4. Step 4: Simplify right side
    12,915.36x = 180,305,358.48
  5. Step 5: Solve for x
    x = 180,305,358.48/12,915.36
  6. Step 6: Final answer
    x = 13,960.54

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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.