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Finding the Fourth Proportional to 14,651.20, 20,217.36 and 8,681.84

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Solution

The fourth proportional to 14,651.20, 20,217.36 and 8,681.84 is: 11,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.20 : 20,217.36 = 8,681.84 : x
  2. Step 2: Convert to fraction form
    14,651.20/20,217.36 = 8,681.84/x
  3. Step 3: Cross multiply
    14,651.20x = 20,217.36 × 8,681.84
  4. Step 4: Simplify right side
    14,651.20x = 175,523,884.74
  5. Step 5: Solve for x
    x = 175,523,884.74/14,651.20
  6. Step 6: Final answer
    x = 11,980.17

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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.