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Finding the Fourth Proportional to 24,036, 36,053.99 and 11,548.23

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Solution

The fourth proportional to 24,036, 36,053.99 and 11,548.23 is: 17,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036 : 36,053.99 = 11,548.23 : x
  2. Step 2: Convert to fraction form
    24,036/36,053.99 = 11,548.23/x
  3. Step 3: Cross multiply
    24,036x = 36,053.99 × 11,548.23
  4. Step 4: Simplify right side
    24,036x = 416,359,768.94
  5. Step 5: Solve for x
    x = 416,359,768.94/24,036
  6. Step 6: Final answer
    x = 17,322.34

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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.