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Finding the Fourth Proportional to 16,632.21, 22,951.88 and 9,914.38

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Solution

The fourth proportional to 16,632.21, 22,951.88 and 9,914.38 is: 13,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,632.21 : 22,951.88 = 9,914.38 : x
  2. Step 2: Convert to fraction form
    16,632.21/22,951.88 = 9,914.38/x
  3. Step 3: Cross multiply
    16,632.21x = 22,951.88 × 9,914.38
  4. Step 4: Simplify right side
    16,632.21x = 227,553,660.03
  5. Step 5: Solve for x
    x = 227,553,660.03/16,632.21
  6. Step 6: Final answer
    x = 13,681.50

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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.