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Finding the Fourth Proportional to 14,230.75, 21,346.11 and 7,909.65

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Solution

The fourth proportional to 14,230.75, 21,346.11 and 7,909.65 is: 11,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.75 : 21,346.11 = 7,909.65 : x
  2. Step 2: Convert to fraction form
    14,230.75/21,346.11 = 7,909.65/x
  3. Step 3: Cross multiply
    14,230.75x = 21,346.11 × 7,909.65
  4. Step 4: Simplify right side
    14,230.75x = 168,840,258.96
  5. Step 5: Solve for x
    x = 168,840,258.96/14,230.75
  6. Step 6: Final answer
    x = 11,864.47

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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.