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Finding the Fourth Proportional to 14,550.30, 21,839.10 and 7,160.10

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Solution

The fourth proportional to 14,550.30, 21,839.10 and 7,160.10 is: 10,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.30 : 21,839.10 = 7,160.10 : x
  2. Step 2: Convert to fraction form
    14,550.30/21,839.10 = 7,160.10/x
  3. Step 3: Cross multiply
    14,550.30x = 21,839.10 × 7,160.10
  4. Step 4: Simplify right side
    14,550.30x = 156,370,139.91
  5. Step 5: Solve for x
    x = 156,370,139.91/14,550.30
  6. Step 6: Final answer
    x = 10,746.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.