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Finding the Fourth Proportional to 24,854.76, 34,299.06 and 13,524.48

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Solution

The fourth proportional to 24,854.76, 34,299.06 and 13,524.48 is: 18,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.76 : 34,299.06 = 13,524.48 : x
  2. Step 2: Convert to fraction form
    24,854.76/34,299.06 = 13,524.48/x
  3. Step 3: Cross multiply
    24,854.76x = 34,299.06 × 13,524.48
  4. Step 4: Simplify right side
    24,854.76x = 463,876,950.99
  5. Step 5: Solve for x
    x = 463,876,950.99/24,854.76
  6. Step 6: Final answer
    x = 18,663.51

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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.