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Finding the Fourth Proportional to 12,151.20, 18,226.80 and 6,953.40

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Solution

The fourth proportional to 12,151.20, 18,226.80 and 6,953.40 is: 10,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.20 : 18,226.80 = 6,953.40 : x
  2. Step 2: Convert to fraction form
    12,151.20/18,226.80 = 6,953.40/x
  3. Step 3: Cross multiply
    12,151.20x = 18,226.80 × 6,953.40
  4. Step 4: Simplify right side
    12,151.20x = 126,738,231.12
  5. Step 5: Solve for x
    x = 126,738,231.12/12,151.20
  6. Step 6: Final answer
    x = 10,430.10

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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.