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Finding the Fourth Proportional to 24,032.34, 36,051.99 and 7,393.77

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Solution

The fourth proportional to 24,032.34, 36,051.99 and 7,393.77 is: 11,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.34 : 36,051.99 = 7,393.77 : x
  2. Step 2: Convert to fraction form
    24,032.34/36,051.99 = 7,393.77/x
  3. Step 3: Cross multiply
    24,032.34x = 36,051.99 × 7,393.77
  4. Step 4: Simplify right side
    24,032.34x = 266,560,122.10
  5. Step 5: Solve for x
    x = 266,560,122.10/24,032.34
  6. Step 6: Final answer
    x = 11,091.73

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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.