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Finding the Fourth Proportional to 16,538, 22,824 and 9,464.48

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Solution

The fourth proportional to 16,538, 22,824 and 9,464.48 is: 13,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538 : 22,824 = 9,464.48 : x
  2. Step 2: Convert to fraction form
    16,538/22,824 = 9,464.48/x
  3. Step 3: Cross multiply
    16,538x = 22,824 × 9,464.48
  4. Step 4: Simplify right side
    16,538x = 216,017,291.52
  5. Step 5: Solve for x
    x = 216,017,291.52/16,538
  6. Step 6: Final answer
    x = 13,061.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.