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Finding the Fourth Proportional to 24,448.40, 36,648.30 and 11,277.80

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Solution

The fourth proportional to 24,448.40, 36,648.30 and 11,277.80 is: 16,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.40 : 36,648.30 = 11,277.80 : x
  2. Step 2: Convert to fraction form
    24,448.40/36,648.30 = 11,277.80/x
  3. Step 3: Cross multiply
    24,448.40x = 36,648.30 × 11,277.80
  4. Step 4: Simplify right side
    24,448.40x = 413,312,197.74
  5. Step 5: Solve for x
    x = 413,312,197.74/24,448.40
  6. Step 6: Final answer
    x = 16,905.49

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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.