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Finding the Fourth Proportional to 24,381.50, 36,577.26 and 11,048.09

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Solution

The fourth proportional to 24,381.50, 36,577.26 and 11,048.09 is: 16,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.50 : 36,577.26 = 11,048.09 : x
  2. Step 2: Convert to fraction form
    24,381.50/36,577.26 = 11,048.09/x
  3. Step 3: Cross multiply
    24,381.50x = 36,577.26 × 11,048.09
  4. Step 4: Simplify right side
    24,381.50x = 404,108,814.71
  5. Step 5: Solve for x
    x = 404,108,814.71/24,381.50
  6. Step 6: Final answer
    x = 16,574.40

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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.