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Finding the Fourth Proportional to 24,098.77, 33,256.47 and 14,033.08

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Solution

The fourth proportional to 24,098.77, 33,256.47 and 14,033.08 is: 19,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.77 : 33,256.47 = 14,033.08 : x
  2. Step 2: Convert to fraction form
    24,098.77/33,256.47 = 14,033.08/x
  3. Step 3: Cross multiply
    24,098.77x = 33,256.47 × 14,033.08
  4. Step 4: Simplify right side
    24,098.77x = 466,690,704.03
  5. Step 5: Solve for x
    x = 466,690,704.03/24,098.77
  6. Step 6: Final answer
    x = 19,365.75

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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.