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Finding the Fourth Proportional to 24,363.88, 36,530.78 and 9,566.09

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Solution

The fourth proportional to 24,363.88, 36,530.78 and 9,566.09 is: 14,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.88 : 36,530.78 = 9,566.09 : x
  2. Step 2: Convert to fraction form
    24,363.88/36,530.78 = 9,566.09/x
  3. Step 3: Cross multiply
    24,363.88x = 36,530.78 × 9,566.09
  4. Step 4: Simplify right side
    24,363.88x = 349,456,681.42
  5. Step 5: Solve for x
    x = 349,456,681.42/24,363.88
  6. Step 6: Final answer
    x = 14,343.23

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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.