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Finding the Fourth Proportional to 24,062.56, 36,093.84 and 11,740

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Solution

The fourth proportional to 24,062.56, 36,093.84 and 11,740 is: 17,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.56 : 36,093.84 = 11,740 : x
  2. Step 2: Convert to fraction form
    24,062.56/36,093.84 = 11,740/x
  3. Step 3: Cross multiply
    24,062.56x = 36,093.84 × 11,740
  4. Step 4: Simplify right side
    24,062.56x = 423,741,681.60
  5. Step 5: Solve for x
    x = 423,741,681.60/24,062.56
  6. Step 6: Final answer
    x = 17,610.00

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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.