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Finding the Fourth Proportional to 24,378.49, 33,642.98 and 13,769.70

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Solution

The fourth proportional to 24,378.49, 33,642.98 and 13,769.70 is: 19,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.49 : 33,642.98 = 13,769.70 : x
  2. Step 2: Convert to fraction form
    24,378.49/33,642.98 = 13,769.70/x
  3. Step 3: Cross multiply
    24,378.49x = 33,642.98 × 13,769.70
  4. Step 4: Simplify right side
    24,378.49x = 463,253,741.71
  5. Step 5: Solve for x
    x = 463,253,741.71/24,378.49
  6. Step 6: Final answer
    x = 19,002.56

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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.