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Finding the Fourth Proportional to 24,078.56, 36,117.66 and 6,548.24

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Solution

The fourth proportional to 24,078.56, 36,117.66 and 6,548.24 is: 9,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.56 : 36,117.66 = 6,548.24 : x
  2. Step 2: Convert to fraction form
    24,078.56/36,117.66 = 6,548.24/x
  3. Step 3: Cross multiply
    24,078.56x = 36,117.66 × 6,548.24
  4. Step 4: Simplify right side
    24,078.56x = 236,507,105.92
  5. Step 5: Solve for x
    x = 236,507,105.92/24,078.56
  6. Step 6: Final answer
    x = 9,822.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.