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Finding the Fourth Proportional to 24,701.68, 34,087.98 and 13,523.68

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Solution

The fourth proportional to 24,701.68, 34,087.98 and 13,523.68 is: 18,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.68 : 34,087.98 = 13,523.68 : x
  2. Step 2: Convert to fraction form
    24,701.68/34,087.98 = 13,523.68/x
  3. Step 3: Cross multiply
    24,701.68x = 34,087.98 × 13,523.68
  4. Step 4: Simplify right side
    24,701.68x = 460,994,933.37
  5. Step 5: Solve for x
    x = 460,994,933.37/24,701.68
  6. Step 6: Final answer
    x = 18,662.49

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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.