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Finding the Fourth Proportional to 14,797.12, 22,200.86 and 9,243.96

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Solution

The fourth proportional to 14,797.12, 22,200.86 and 9,243.96 is: 13,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.12 : 22,200.86 = 9,243.96 : x
  2. Step 2: Convert to fraction form
    14,797.12/22,200.86 = 9,243.96/x
  3. Step 3: Cross multiply
    14,797.12x = 22,200.86 × 9,243.96
  4. Step 4: Simplify right side
    14,797.12x = 205,223,861.81
  5. Step 5: Solve for x
    x = 205,223,861.81/14,797.12
  6. Step 6: Final answer
    x = 13,869.18

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Why These Related Problems?

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