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Finding the Fourth Proportional to 12,326.74, 18,493.16 and 4,929.22

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Solution

The fourth proportional to 12,326.74, 18,493.16 and 4,929.22 is: 7,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.74 : 18,493.16 = 4,929.22 : x
  2. Step 2: Convert to fraction form
    12,326.74/18,493.16 = 4,929.22/x
  3. Step 3: Cross multiply
    12,326.74x = 18,493.16 × 4,929.22
  4. Step 4: Simplify right side
    12,326.74x = 91,156,854.14
  5. Step 5: Solve for x
    x = 91,156,854.14/12,326.74
  6. Step 6: Final answer
    x = 7,395.05

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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.