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Finding the Fourth Proportional to 24,271.84, 36,399.84 and 7,852

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Solution

The fourth proportional to 24,271.84, 36,399.84 and 7,852 is: 11,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.84 : 36,399.84 = 7,852 : x
  2. Step 2: Convert to fraction form
    24,271.84/36,399.84 = 7,852/x
  3. Step 3: Cross multiply
    24,271.84x = 36,399.84 × 7,852
  4. Step 4: Simplify right side
    24,271.84x = 285,811,543.68
  5. Step 5: Solve for x
    x = 285,811,543.68/24,271.84
  6. Step 6: Final answer
    x = 11,775.44

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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.