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Finding the Fourth Proportional to 21,478.35, 32,209.79 and 7,434.56

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Solution

The fourth proportional to 21,478.35, 32,209.79 and 7,434.56 is: 11,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.35 : 32,209.79 = 7,434.56 : x
  2. Step 2: Convert to fraction form
    21,478.35/32,209.79 = 7,434.56/x
  3. Step 3: Cross multiply
    21,478.35x = 32,209.79 × 7,434.56
  4. Step 4: Simplify right side
    21,478.35x = 239,465,616.34
  5. Step 5: Solve for x
    x = 239,465,616.34/21,478.35
  6. Step 6: Final answer
    x = 11,149.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.