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Finding the Fourth Proportional to 15,946.65, 23,915.11 and 12,819.24

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Solution

The fourth proportional to 15,946.65, 23,915.11 and 12,819.24 is: 19,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.65 : 23,915.11 = 12,819.24 : x
  2. Step 2: Convert to fraction form
    15,946.65/23,915.11 = 12,819.24/x
  3. Step 3: Cross multiply
    15,946.65x = 23,915.11 × 12,819.24
  4. Step 4: Simplify right side
    15,946.65x = 306,573,534.72
  5. Step 5: Solve for x
    x = 306,573,534.72/15,946.65
  6. Step 6: Final answer
    x = 19,224.95

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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.