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Finding the Fourth Proportional to 24,854.34, 34,298.99 and 13,676.34

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Solution

The fourth proportional to 24,854.34, 34,298.99 and 13,676.34 is: 18,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.34 : 34,298.99 = 13,676.34 : x
  2. Step 2: Convert to fraction form
    24,854.34/34,298.99 = 13,676.34/x
  3. Step 3: Cross multiply
    24,854.34x = 34,298.99 × 13,676.34
  4. Step 4: Simplify right side
    24,854.34x = 469,084,837.35
  5. Step 5: Solve for x
    x = 469,084,837.35/24,854.34
  6. Step 6: Final answer
    x = 18,873.35

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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.