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Finding the Fourth Proportional to 22,969.95, 34,446 and 8,928.12

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Solution

The fourth proportional to 22,969.95, 34,446 and 8,928.12 is: 13,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.95 : 34,446 = 8,928.12 : x
  2. Step 2: Convert to fraction form
    22,969.95/34,446 = 8,928.12/x
  3. Step 3: Cross multiply
    22,969.95x = 34,446 × 8,928.12
  4. Step 4: Simplify right side
    22,969.95x = 307,538,021.52
  5. Step 5: Solve for x
    x = 307,538,021.52/22,969.95
  6. Step 6: Final answer
    x = 13,388.71

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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.