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Finding the Fourth Proportional to 24,223.96, 33,429.90 and 14,150.80

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Solution

The fourth proportional to 24,223.96, 33,429.90 and 14,150.80 is: 19,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.96 : 33,429.90 = 14,150.80 : x
  2. Step 2: Convert to fraction form
    24,223.96/33,429.90 = 14,150.80/x
  3. Step 3: Cross multiply
    24,223.96x = 33,429.90 × 14,150.80
  4. Step 4: Simplify right side
    24,223.96x = 473,059,828.92
  5. Step 5: Solve for x
    x = 473,059,828.92/24,223.96
  6. Step 6: Final answer
    x = 19,528.59

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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.