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Finding the Fourth Proportional to 15,416.96, 23,138.40 and 8,024

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Solution

The fourth proportional to 15,416.96, 23,138.40 and 8,024 is: 12,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.96 : 23,138.40 = 8,024 : x
  2. Step 2: Convert to fraction form
    15,416.96/23,138.40 = 8,024/x
  3. Step 3: Cross multiply
    15,416.96x = 23,138.40 × 8,024
  4. Step 4: Simplify right side
    15,416.96x = 185,662,521.60
  5. Step 5: Solve for x
    x = 185,662,521.60/15,416.96
  6. Step 6: Final answer
    x = 12,042.75

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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.