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Finding the Fourth Proportional to 17,856.47, 26,792.01 and 9,854.48

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Solution

The fourth proportional to 17,856.47, 26,792.01 and 9,854.48 is: 14,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.47 : 26,792.01 = 9,854.48 : x
  2. Step 2: Convert to fraction form
    17,856.47/26,792.01 = 9,854.48/x
  3. Step 3: Cross multiply
    17,856.47x = 26,792.01 × 9,854.48
  4. Step 4: Simplify right side
    17,856.47x = 264,021,393.68
  5. Step 5: Solve for x
    x = 264,021,393.68/17,856.47
  6. Step 6: Final answer
    x = 14,785.75

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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.