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Finding the Fourth Proportional to 22,421.87, 33,609.72 and 9,947.77

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Solution

The fourth proportional to 22,421.87, 33,609.72 and 9,947.77 is: 14,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.87 : 33,609.72 = 9,947.77 : x
  2. Step 2: Convert to fraction form
    22,421.87/33,609.72 = 9,947.77/x
  3. Step 3: Cross multiply
    22,421.87x = 33,609.72 × 9,947.77
  4. Step 4: Simplify right side
    22,421.87x = 334,341,717.60
  5. Step 5: Solve for x
    x = 334,341,717.60/22,421.87
  6. Step 6: Final answer
    x = 14,911.41

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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.