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Finding the Fourth Proportional to 18,125.93, 25,034.04 and 12,478

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Solution

The fourth proportional to 18,125.93, 25,034.04 and 12,478 is: 17,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,125.93 : 25,034.04 = 12,478 : x
  2. Step 2: Convert to fraction form
    18,125.93/25,034.04 = 12,478/x
  3. Step 3: Cross multiply
    18,125.93x = 25,034.04 × 12,478
  4. Step 4: Simplify right side
    18,125.93x = 312,374,751.12
  5. Step 5: Solve for x
    x = 312,374,751.12/18,125.93
  6. Step 6: Final answer
    x = 17,233.58

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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.