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Finding the Fourth Proportional to 24,334.98, 33,582.27 and 13,724.63

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Solution

The fourth proportional to 24,334.98, 33,582.27 and 13,724.63 is: 18,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.98 : 33,582.27 = 13,724.63 : x
  2. Step 2: Convert to fraction form
    24,334.98/33,582.27 = 13,724.63/x
  3. Step 3: Cross multiply
    24,334.98x = 33,582.27 × 13,724.63
  4. Step 4: Simplify right side
    24,334.98x = 460,904,062.40
  5. Step 5: Solve for x
    x = 460,904,062.40/24,334.98
  6. Step 6: Final answer
    x = 18,939.98

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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.