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Finding the Fourth Proportional to 24,992.68, 34,489.74 and 13,814.68

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Solution

The fourth proportional to 24,992.68, 34,489.74 and 13,814.68 is: 19,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992.68 : 34,489.74 = 13,814.68 : x
  2. Step 2: Convert to fraction form
    24,992.68/34,489.74 = 13,814.68/x
  3. Step 3: Cross multiply
    24,992.68x = 34,489.74 × 13,814.68
  4. Step 4: Simplify right side
    24,992.68x = 476,464,721.38
  5. Step 5: Solve for x
    x = 476,464,721.38/24,992.68
  6. Step 6: Final answer
    x = 19,064.17

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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.