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Finding the Fourth Proportional to 24,207.66, 36,308.76 and 8,409.93

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Solution

The fourth proportional to 24,207.66, 36,308.76 and 8,409.93 is: 12,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.66 : 36,308.76 = 8,409.93 : x
  2. Step 2: Convert to fraction form
    24,207.66/36,308.76 = 8,409.93/x
  3. Step 3: Cross multiply
    24,207.66x = 36,308.76 × 8,409.93
  4. Step 4: Simplify right side
    24,207.66x = 305,353,962.29
  5. Step 5: Solve for x
    x = 305,353,962.29/24,207.66
  6. Step 6: Final answer
    x = 12,613.94

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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.