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Finding the Fourth Proportional to 12,407.54, 18,613.13 and 3,641.31

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Solution

The fourth proportional to 12,407.54, 18,613.13 and 3,641.31 is: 5,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.54 : 18,613.13 = 3,641.31 : x
  2. Step 2: Convert to fraction form
    12,407.54/18,613.13 = 3,641.31/x
  3. Step 3: Cross multiply
    12,407.54x = 18,613.13 × 3,641.31
  4. Step 4: Simplify right side
    12,407.54x = 67,776,158.19
  5. Step 5: Solve for x
    x = 67,776,158.19/12,407.54
  6. Step 6: Final answer
    x = 5,462.50

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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.