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Finding the Fourth Proportional to 23,891.58, 32,968.35 and 13,135.87

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Solution

The fourth proportional to 23,891.58, 32,968.35 and 13,135.87 is: 18,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.58 : 32,968.35 = 13,135.87 : x
  2. Step 2: Convert to fraction form
    23,891.58/32,968.35 = 13,135.87/x
  3. Step 3: Cross multiply
    23,891.58x = 32,968.35 × 13,135.87
  4. Step 4: Simplify right side
    23,891.58x = 433,067,959.71
  5. Step 5: Solve for x
    x = 433,067,959.71/23,891.58
  6. Step 6: Final answer
    x = 18,126.38

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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.