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Finding the Fourth Proportional to 24,859.96, 34,309.02 and 13,682.68

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Solution

The fourth proportional to 24,859.96, 34,309.02 and 13,682.68 is: 18,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.96 : 34,309.02 = 13,682.68 : x
  2. Step 2: Convert to fraction form
    24,859.96/34,309.02 = 13,682.68/x
  3. Step 3: Cross multiply
    24,859.96x = 34,309.02 × 13,682.68
  4. Step 4: Simplify right side
    24,859.96x = 469,439,341.77
  5. Step 5: Solve for x
    x = 469,439,341.77/24,859.96
  6. Step 6: Final answer
    x = 18,883.35

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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.