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Finding the Fourth Proportional to 12,915.76, 17,827.53 and 8,440.24

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Solution

The fourth proportional to 12,915.76, 17,827.53 and 8,440.24 is: 11,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.76 : 17,827.53 = 8,440.24 : x
  2. Step 2: Convert to fraction form
    12,915.76/17,827.53 = 8,440.24/x
  3. Step 3: Cross multiply
    12,915.76x = 17,827.53 × 8,440.24
  4. Step 4: Simplify right side
    12,915.76x = 150,468,631.81
  5. Step 5: Solve for x
    x = 150,468,631.81/12,915.76
  6. Step 6: Final answer
    x = 11,650.00

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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.