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Finding the Fourth Proportional to 24,417.84, 33,690.96 and 16,870.80

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Solution

The fourth proportional to 24,417.84, 33,690.96 and 16,870.80 is: 23,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.84 : 33,690.96 = 16,870.80 : x
  2. Step 2: Convert to fraction form
    24,417.84/33,690.96 = 16,870.80/x
  3. Step 3: Cross multiply
    24,417.84x = 33,690.96 × 16,870.80
  4. Step 4: Simplify right side
    24,417.84x = 568,393,447.97
  5. Step 5: Solve for x
    x = 568,393,447.97/24,417.84
  6. Step 6: Final answer
    x = 23,277.79

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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.