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Finding the Fourth Proportional to 24,774.93, 34,189.43 and 13,444.38

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Solution

The fourth proportional to 24,774.93, 34,189.43 and 13,444.38 is: 18,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.93 : 34,189.43 = 13,444.38 : x
  2. Step 2: Convert to fraction form
    24,774.93/34,189.43 = 13,444.38/x
  3. Step 3: Cross multiply
    24,774.93x = 34,189.43 × 13,444.38
  4. Step 4: Simplify right side
    24,774.93x = 459,655,621.68
  5. Step 5: Solve for x
    x = 459,655,621.68/24,774.93
  6. Step 6: Final answer
    x = 18,553.26

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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.