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Finding the Fourth Proportional to 17,872.40, 26,827.80 and 10,096.40

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Solution

The fourth proportional to 17,872.40, 26,827.80 and 10,096.40 is: 15,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.40 : 26,827.80 = 10,096.40 : x
  2. Step 2: Convert to fraction form
    17,872.40/26,827.80 = 10,096.40/x
  3. Step 3: Cross multiply
    17,872.40x = 26,827.80 × 10,096.40
  4. Step 4: Simplify right side
    17,872.40x = 270,864,199.92
  5. Step 5: Solve for x
    x = 270,864,199.92/17,872.40
  6. Step 6: Final answer
    x = 15,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.