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Finding the Fourth Proportional to 24,098.80, 33,265.56 and 14,666.80

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Solution

The fourth proportional to 24,098.80, 33,265.56 and 14,666.80 is: 20,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.80 : 33,265.56 = 14,666.80 : x
  2. Step 2: Convert to fraction form
    24,098.80/33,265.56 = 14,666.80/x
  3. Step 3: Cross multiply
    24,098.80x = 33,265.56 × 14,666.80
  4. Step 4: Simplify right side
    24,098.80x = 487,899,315.41
  5. Step 5: Solve for x
    x = 487,899,315.41/24,098.80
  6. Step 6: Final answer
    x = 20,245.79

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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.