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Finding the Fourth Proportional to 24,854.34, 34,298.56 and 13,523.54

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Solution

The fourth proportional to 24,854.34, 34,298.56 and 13,523.54 is: 18,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.34 : 34,298.56 = 13,523.54 : x
  2. Step 2: Convert to fraction form
    24,854.34/34,298.56 = 13,523.54/x
  3. Step 3: Cross multiply
    24,854.34x = 34,298.56 × 13,523.54
  4. Step 4: Simplify right side
    24,854.34x = 463,838,000.04
  5. Step 5: Solve for x
    x = 463,838,000.04/24,854.34
  6. Step 6: Final answer
    x = 18,662.25

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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.