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Finding the Fourth Proportional to 24,300, 33,534.33 and 13,544.56

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Solution

The fourth proportional to 24,300, 33,534.33 and 13,544.56 is: 18,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 33,534.33 = 13,544.56 : x
  2. Step 2: Convert to fraction form
    24,300/33,534.33 = 13,544.56/x
  3. Step 3: Cross multiply
    24,300x = 33,534.33 × 13,544.56
  4. Step 4: Simplify right side
    24,300x = 454,207,744.74
  5. Step 5: Solve for x
    x = 454,207,744.74/24,300
  6. Step 6: Final answer
    x = 18,691.68

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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.