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Finding the Fourth Proportional to 24,652.12, 34,019.88 and 13,474.12

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Solution

The fourth proportional to 24,652.12, 34,019.88 and 13,474.12 is: 18,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.12 : 34,019.88 = 13,474.12 : x
  2. Step 2: Convert to fraction form
    24,652.12/34,019.88 = 13,474.12/x
  3. Step 3: Cross multiply
    24,652.12x = 34,019.88 × 13,474.12
  4. Step 4: Simplify right side
    24,652.12x = 458,387,945.51
  5. Step 5: Solve for x
    x = 458,387,945.51/24,652.12
  6. Step 6: Final answer
    x = 18,594.26

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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.