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Finding the Fourth Proportional to 14,069.84, 21,101.62 and 4,207.84

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Solution

The fourth proportional to 14,069.84, 21,101.62 and 4,207.84 is: 6,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.84 : 21,101.62 = 4,207.84 : x
  2. Step 2: Convert to fraction form
    14,069.84/21,101.62 = 4,207.84/x
  3. Step 3: Cross multiply
    14,069.84x = 21,101.62 × 4,207.84
  4. Step 4: Simplify right side
    14,069.84x = 88,792,177.43
  5. Step 5: Solve for x
    x = 88,792,177.43/14,069.84
  6. Step 6: Final answer
    x = 6,310.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.