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Finding the Fourth Proportional to 22,947.40, 34,420.59 and 9,435.72

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Solution

The fourth proportional to 22,947.40, 34,420.59 and 9,435.72 is: 14,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.40 : 34,420.59 = 9,435.72 : x
  2. Step 2: Convert to fraction form
    22,947.40/34,420.59 = 9,435.72/x
  3. Step 3: Cross multiply
    22,947.40x = 34,420.59 × 9,435.72
  4. Step 4: Simplify right side
    22,947.40x = 324,783,049.47
  5. Step 5: Solve for x
    x = 324,783,049.47/22,947.40
  6. Step 6: Final answer
    x = 14,153.37

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1.5x scale

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.