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Finding the Fourth Proportional to 24,127.95, 36,192.93 and 7,499.25

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Solution

The fourth proportional to 24,127.95, 36,192.93 and 7,499.25 is: 11,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,127.95 : 36,192.93 = 7,499.25 : x
  2. Step 2: Convert to fraction form
    24,127.95/36,192.93 = 7,499.25/x
  3. Step 3: Cross multiply
    24,127.95x = 36,192.93 × 7,499.25
  4. Step 4: Simplify right side
    24,127.95x = 271,419,830.30
  5. Step 5: Solve for x
    x = 271,419,830.30/24,127.95
  6. Step 6: Final answer
    x = 11,249.19

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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.