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Finding the Fourth Proportional to 28,177, 42,280.08 and 14,326

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Solution

The fourth proportional to 28,177, 42,280.08 and 14,326 is: 21,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,177 : 42,280.08 = 14,326 : x
  2. Step 2: Convert to fraction form
    28,177/42,280.08 = 14,326/x
  3. Step 3: Cross multiply
    28,177x = 42,280.08 × 14,326
  4. Step 4: Simplify right side
    28,177x = 605,704,426.08
  5. Step 5: Solve for x
    x = 605,704,426.08/28,177
  6. Step 6: Final answer
    x = 21,496.41

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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.