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Finding the Fourth Proportional to 15,508.74, 23,225.96 and 8,478.20

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Solution

The fourth proportional to 15,508.74, 23,225.96 and 8,478.20 is: 12,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.74 : 23,225.96 = 8,478.20 : x
  2. Step 2: Convert to fraction form
    15,508.74/23,225.96 = 8,478.20/x
  3. Step 3: Cross multiply
    15,508.74x = 23,225.96 × 8,478.20
  4. Step 4: Simplify right side
    15,508.74x = 196,914,334.07
  5. Step 5: Solve for x
    x = 196,914,334.07/15,508.74
  6. Step 6: Final answer
    x = 12,696.99

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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.