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Finding the Fourth Proportional to 14,716.42, 20,308.76 and 8,002.12

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Solution

The fourth proportional to 14,716.42, 20,308.76 and 8,002.12 is: 11,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.42 : 20,308.76 = 8,002.12 : x
  2. Step 2: Convert to fraction form
    14,716.42/20,308.76 = 8,002.12/x
  3. Step 3: Cross multiply
    14,716.42x = 20,308.76 × 8,002.12
  4. Step 4: Simplify right side
    14,716.42x = 162,513,134.57
  5. Step 5: Solve for x
    x = 162,513,134.57/14,716.42
  6. Step 6: Final answer
    x = 11,042.98

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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.