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Finding the Fourth Proportional to 18,204.10, 25,120.59 and 10,246

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Solution

The fourth proportional to 18,204.10, 25,120.59 and 10,246 is: 14,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.10 : 25,120.59 = 10,246 : x
  2. Step 2: Convert to fraction form
    18,204.10/25,120.59 = 10,246/x
  3. Step 3: Cross multiply
    18,204.10x = 25,120.59 × 10,246
  4. Step 4: Simplify right side
    18,204.10x = 257,385,565.14
  5. Step 5: Solve for x
    x = 257,385,565.14/18,204.10
  6. Step 6: Final answer
    x = 14,138.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.