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Finding the Fourth Proportional to 24,135.99, 36,204.02 and 10,088.33

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Solution

The fourth proportional to 24,135.99, 36,204.02 and 10,088.33 is: 15,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.99 : 36,204.02 = 10,088.33 : x
  2. Step 2: Convert to fraction form
    24,135.99/36,204.02 = 10,088.33/x
  3. Step 3: Cross multiply
    24,135.99x = 36,204.02 × 10,088.33
  4. Step 4: Simplify right side
    24,135.99x = 365,237,869.62
  5. Step 5: Solve for x
    x = 365,237,869.62/24,135.99
  6. Step 6: Final answer
    x = 15,132.50

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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.