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Finding the Fourth Proportional to 24,197.78, 33,403.52 and 14,122.40

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Solution

The fourth proportional to 24,197.78, 33,403.52 and 14,122.40 is: 19,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.78 : 33,403.52 = 14,122.40 : x
  2. Step 2: Convert to fraction form
    24,197.78/33,403.52 = 14,122.40/x
  3. Step 3: Cross multiply
    24,197.78x = 33,403.52 × 14,122.40
  4. Step 4: Simplify right side
    24,197.78x = 471,737,739.14
  5. Step 5: Solve for x
    x = 471,737,739.14/24,197.78
  6. Step 6: Final answer
    x = 19,495.08

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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.