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Finding the Fourth Proportional to 12,915.94, 19,376.70 and 4,151.74

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Solution

The fourth proportional to 12,915.94, 19,376.70 and 4,151.74 is: 6,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.94 : 19,376.70 = 4,151.74 : x
  2. Step 2: Convert to fraction form
    12,915.94/19,376.70 = 4,151.74/x
  3. Step 3: Cross multiply
    12,915.94x = 19,376.70 × 4,151.74
  4. Step 4: Simplify right side
    12,915.94x = 80,447,020.46
  5. Step 5: Solve for x
    x = 80,447,020.46/12,915.94
  6. Step 6: Final answer
    x = 6,228.51

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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.