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Finding the Fourth Proportional to 12,275.22, 18,378.53 and 6,632.68

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Solution

The fourth proportional to 12,275.22, 18,378.53 and 6,632.68 is: 9,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.22 : 18,378.53 = 6,632.68 : x
  2. Step 2: Convert to fraction form
    12,275.22/18,378.53 = 6,632.68/x
  3. Step 3: Cross multiply
    12,275.22x = 18,378.53 × 6,632.68
  4. Step 4: Simplify right side
    12,275.22x = 121,898,908.36
  5. Step 5: Solve for x
    x = 121,898,908.36/12,275.22
  6. Step 6: Final answer
    x = 9,930.49

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Why These Related Problems?

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