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Finding the Fourth Proportional to 24,324.98, 33,568 and 13,714.62

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Solution

The fourth proportional to 24,324.98, 33,568 and 13,714.62 is: 18,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.98 : 33,568 = 13,714.62 : x
  2. Step 2: Convert to fraction form
    24,324.98/33,568 = 13,714.62/x
  3. Step 3: Cross multiply
    24,324.98x = 33,568 × 13,714.62
  4. Step 4: Simplify right side
    24,324.98x = 460,372,364.16
  5. Step 5: Solve for x
    x = 460,372,364.16/24,324.98
  6. Step 6: Final answer
    x = 18,925.91

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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.