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Finding the Fourth Proportional to 24,353.16, 33,604.88 and 13,742.16

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Solution

The fourth proportional to 24,353.16, 33,604.88 and 13,742.16 is: 18,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,353.16 : 33,604.88 = 13,742.16 : x
  2. Step 2: Convert to fraction form
    24,353.16/33,604.88 = 13,742.16/x
  3. Step 3: Cross multiply
    24,353.16x = 33,604.88 × 13,742.16
  4. Step 4: Simplify right side
    24,353.16x = 461,803,637.74
  5. Step 5: Solve for x
    x = 461,803,637.74/24,353.16
  6. Step 6: Final answer
    x = 18,962.78

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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.