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Finding the Fourth Proportional to 14,149.40, 19,528.68 and 8,180.12

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Solution

The fourth proportional to 14,149.40, 19,528.68 and 8,180.12 is: 11,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.40 : 19,528.68 = 8,180.12 : x
  2. Step 2: Convert to fraction form
    14,149.40/19,528.68 = 8,180.12/x
  3. Step 3: Cross multiply
    14,149.40x = 19,528.68 × 8,180.12
  4. Step 4: Simplify right side
    14,149.40x = 159,746,945.84
  5. Step 5: Solve for x
    x = 159,746,945.84/14,149.40
  6. Step 6: Final answer
    x = 11,290.02

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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.