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Finding the Fourth Proportional to 23,070.80, 31,837.70 and 12,460.42

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Solution

The fourth proportional to 23,070.80, 31,837.70 and 12,460.42 is: 17,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.80 : 31,837.70 = 12,460.42 : x
  2. Step 2: Convert to fraction form
    23,070.80/31,837.70 = 12,460.42/x
  3. Step 3: Cross multiply
    23,070.80x = 31,837.70 × 12,460.42
  4. Step 4: Simplify right side
    23,070.80x = 396,711,113.83
  5. Step 5: Solve for x
    x = 396,711,113.83/23,070.80
  6. Step 6: Final answer
    x = 17,195.38

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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.