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Finding the Fourth Proportional to 24,196.84, 33,394.66 and 14,765.80

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Solution

The fourth proportional to 24,196.84, 33,394.66 and 14,765.80 is: 20,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.84 : 33,394.66 = 14,765.80 : x
  2. Step 2: Convert to fraction form
    24,196.84/33,394.66 = 14,765.80/x
  3. Step 3: Cross multiply
    24,196.84x = 33,394.66 × 14,765.80
  4. Step 4: Simplify right side
    24,196.84x = 493,098,870.63
  5. Step 5: Solve for x
    x = 493,098,870.63/24,196.84
  6. Step 6: Final answer
    x = 20,378.65

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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.