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Finding the Fourth Proportional to 18,785.78, 25,918.07 and 10,827.83

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Solution

The fourth proportional to 18,785.78, 25,918.07 and 10,827.83 is: 14,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785.78 : 25,918.07 = 10,827.83 : x
  2. Step 2: Convert to fraction form
    18,785.78/25,918.07 = 10,827.83/x
  3. Step 3: Cross multiply
    18,785.78x = 25,918.07 × 10,827.83
  4. Step 4: Simplify right side
    18,785.78x = 280,636,547.75
  5. Step 5: Solve for x
    x = 280,636,547.75/18,785.78
  6. Step 6: Final answer
    x = 14,938.78

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Why These Related Problems?

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