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Finding the Fourth Proportional to 14,931.12, 20,605.02 and 8,217.42

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Solution

The fourth proportional to 14,931.12, 20,605.02 and 8,217.42 is: 11,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.12 : 20,605.02 = 8,217.42 : x
  2. Step 2: Convert to fraction form
    14,931.12/20,605.02 = 8,217.42/x
  3. Step 3: Cross multiply
    14,931.12x = 20,605.02 × 8,217.42
  4. Step 4: Simplify right side
    14,931.12x = 169,320,103.45
  5. Step 5: Solve for x
    x = 169,320,103.45/14,931.12
  6. Step 6: Final answer
    x = 11,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.