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Finding the Fourth Proportional to 24,202.84, 33,406.88 and 14,642.76

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Solution

The fourth proportional to 24,202.84, 33,406.88 and 14,642.76 is: 20,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.84 : 33,406.88 = 14,642.76 : x
  2. Step 2: Convert to fraction form
    24,202.84/33,406.88 = 14,642.76/x
  3. Step 3: Cross multiply
    24,202.84x = 33,406.88 × 14,642.76
  4. Step 4: Simplify right side
    24,202.84x = 489,168,926.19
  5. Step 5: Solve for x
    x = 489,168,926.19/24,202.84
  6. Step 6: Final answer
    x = 20,211.22

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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.