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Finding the Fourth Proportional to 14,500.80, 20,009.28 and 9,195.84

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Solution

The fourth proportional to 14,500.80, 20,009.28 and 9,195.84 is: 12,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.80 : 20,009.28 = 9,195.84 : x
  2. Step 2: Convert to fraction form
    14,500.80/20,009.28 = 9,195.84/x
  3. Step 3: Cross multiply
    14,500.80x = 20,009.28 × 9,195.84
  4. Step 4: Simplify right side
    14,500.80x = 184,002,137.40
  5. Step 5: Solve for x
    x = 184,002,137.40/14,500.80
  6. Step 6: Final answer
    x = 12,689.10

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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.