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Finding the Fourth Proportional to 24,548.22, 36,823.54 and 7,020.64

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Solution

The fourth proportional to 24,548.22, 36,823.54 and 7,020.64 is: 10,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.22 : 36,823.54 = 7,020.64 : x
  2. Step 2: Convert to fraction form
    24,548.22/36,823.54 = 7,020.64/x
  3. Step 3: Cross multiply
    24,548.22x = 36,823.54 × 7,020.64
  4. Step 4: Simplify right side
    24,548.22x = 258,524,817.87
  5. Step 5: Solve for x
    x = 258,524,817.87/24,548.22
  6. Step 6: Final answer
    x = 10,531.31

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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.