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Finding the Fourth Proportional to 16,270.84, 24,420.30 and 7,957

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Solution

The fourth proportional to 16,270.84, 24,420.30 and 7,957 is: 11,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.84 : 24,420.30 = 7,957 : x
  2. Step 2: Convert to fraction form
    16,270.84/24,420.30 = 7,957/x
  3. Step 3: Cross multiply
    16,270.84x = 24,420.30 × 7,957
  4. Step 4: Simplify right side
    16,270.84x = 194,312,327.10
  5. Step 5: Solve for x
    x = 194,312,327.10/16,270.84
  6. Step 6: Final answer
    x = 11,942.37

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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.