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Finding the Fourth Proportional to 24,675.32, 34,051.84 and 13,344.82

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Solution

The fourth proportional to 24,675.32, 34,051.84 and 13,344.82 is: 18,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.32 : 34,051.84 = 13,344.82 : x
  2. Step 2: Convert to fraction form
    24,675.32/34,051.84 = 13,344.82/x
  3. Step 3: Cross multiply
    24,675.32x = 34,051.84 × 13,344.82
  4. Step 4: Simplify right side
    24,675.32x = 454,415,723.50
  5. Step 5: Solve for x
    x = 454,415,723.50/24,675.32
  6. Step 6: Final answer
    x = 18,415.80

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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.