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Finding the Fourth Proportional to 24,123.66, 36,188.00 and 6,593.50

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Solution

The fourth proportional to 24,123.66, 36,188.00 and 6,593.50 is: 9,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.66 : 36,188.00 = 6,593.50 : x
  2. Step 2: Convert to fraction form
    24,123.66/36,188.00 = 6,593.50/x
  3. Step 3: Cross multiply
    24,123.66x = 36,188.00 × 6,593.50
  4. Step 4: Simplify right side
    24,123.66x = 238,605,614.99
  5. Step 5: Solve for x
    x = 238,605,614.99/24,123.66
  6. Step 6: Final answer
    x = 9,890.94

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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.