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Finding the Fourth Proportional to 24,866.74, 34,315 and 13,536.25

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Solution

The fourth proportional to 24,866.74, 34,315 and 13,536.25 is: 18,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.74 : 34,315 = 13,536.25 : x
  2. Step 2: Convert to fraction form
    24,866.74/34,315 = 13,536.25/x
  3. Step 3: Cross multiply
    24,866.74x = 34,315 × 13,536.25
  4. Step 4: Simplify right side
    24,866.74x = 464,496,418.75
  5. Step 5: Solve for x
    x = 464,496,418.75/24,866.74
  6. Step 6: Final answer
    x = 18,679.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.