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Finding the Fourth Proportional to 15,416.46, 23,144.49 and 8,026.02

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Solution

The fourth proportional to 15,416.46, 23,144.49 and 8,026.02 is: 12,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.46 : 23,144.49 = 8,026.02 : x
  2. Step 2: Convert to fraction form
    15,416.46/23,144.49 = 8,026.02/x
  3. Step 3: Cross multiply
    15,416.46x = 23,144.49 × 8,026.02
  4. Step 4: Simplify right side
    15,416.46x = 185,758,139.63
  5. Step 5: Solve for x
    x = 185,758,139.63/15,416.46
  6. Step 6: Final answer
    x = 12,049.34

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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.