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Finding the Fourth Proportional to 24,274.36, 36,411.52 and 13,878.82

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Solution

The fourth proportional to 24,274.36, 36,411.52 and 13,878.82 is: 20,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.36 : 36,411.52 = 13,878.82 : x
  2. Step 2: Convert to fraction form
    24,274.36/36,411.52 = 13,878.82/x
  3. Step 3: Cross multiply
    24,274.36x = 36,411.52 × 13,878.82
  4. Step 4: Simplify right side
    24,274.36x = 505,348,932.01
  5. Step 5: Solve for x
    x = 505,348,932.01/24,274.36
  6. Step 6: Final answer
    x = 20,818.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.