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Finding the Fourth Proportional to 14,638.16, 20,200.59 and 7,923.80

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Solution

The fourth proportional to 14,638.16, 20,200.59 and 7,923.80 is: 10,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.16 : 20,200.59 = 7,923.80 : x
  2. Step 2: Convert to fraction form
    14,638.16/20,200.59 = 7,923.80/x
  3. Step 3: Cross multiply
    14,638.16x = 20,200.59 × 7,923.80
  4. Step 4: Simplify right side
    14,638.16x = 160,065,435.04
  5. Step 5: Solve for x
    x = 160,065,435.04/14,638.16
  6. Step 6: Final answer
    x = 10,934.81

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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.