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Finding the Fourth Proportional to 24,507.01, 36,766.05 and 8,924.50

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Solution

The fourth proportional to 24,507.01, 36,766.05 and 8,924.50 is: 13,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.01 : 36,766.05 = 8,924.50 : x
  2. Step 2: Convert to fraction form
    24,507.01/36,766.05 = 8,924.50/x
  3. Step 3: Cross multiply
    24,507.01x = 36,766.05 × 8,924.50
  4. Step 4: Simplify right side
    24,507.01x = 328,118,613.23
  5. Step 5: Solve for x
    x = 328,118,613.23/24,507.01
  6. Step 6: Final answer
    x = 13,388.77

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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.