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Finding the Fourth Proportional to 18,093.61, 24,969.05 and 10,135.90

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Solution

The fourth proportional to 18,093.61, 24,969.05 and 10,135.90 is: 13,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,093.61 : 24,969.05 = 10,135.90 : x
  2. Step 2: Convert to fraction form
    18,093.61/24,969.05 = 10,135.90/x
  3. Step 3: Cross multiply
    18,093.61x = 24,969.05 × 10,135.90
  4. Step 4: Simplify right side
    18,093.61x = 253,083,743.22
  5. Step 5: Solve for x
    x = 253,083,743.22/18,093.61
  6. Step 6: Final answer
    x = 13,987.47

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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.