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Finding the Fourth Proportional to 24,365.69, 36,553.16 and 7,729.91

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Solution

The fourth proportional to 24,365.69, 36,553.16 and 7,729.91 is: 11,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.69 : 36,553.16 = 7,729.91 : x
  2. Step 2: Convert to fraction form
    24,365.69/36,553.16 = 7,729.91/x
  3. Step 3: Cross multiply
    24,365.69x = 36,553.16 × 7,729.91
  4. Step 4: Simplify right side
    24,365.69x = 282,552,772.78
  5. Step 5: Solve for x
    x = 282,552,772.78/24,365.69
  6. Step 6: Final answer
    x = 11,596.34

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1.5x scale

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.