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Finding the Fourth Proportional to 24,381.68, 33,642.54 and 13,771.08

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Solution

The fourth proportional to 24,381.68, 33,642.54 and 13,771.08 is: 19,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.68 : 33,642.54 = 13,771.08 : x
  2. Step 2: Convert to fraction form
    24,381.68/33,642.54 = 13,771.08/x
  3. Step 3: Cross multiply
    24,381.68x = 33,642.54 × 13,771.08
  4. Step 4: Simplify right side
    24,381.68x = 463,294,109.74
  5. Step 5: Solve for x
    x = 463,294,109.74/24,381.68
  6. Step 6: Final answer
    x = 19,001.73

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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.