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Finding the Fourth Proportional to 22,430.64, 33,655.80 and 9,286

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Solution

The fourth proportional to 22,430.64, 33,655.80 and 9,286 is: 13,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.64 : 33,655.80 = 9,286 : x
  2. Step 2: Convert to fraction form
    22,430.64/33,655.80 = 9,286/x
  3. Step 3: Cross multiply
    22,430.64x = 33,655.80 × 9,286
  4. Step 4: Simplify right side
    22,430.64x = 312,527,758.80
  5. Step 5: Solve for x
    x = 312,527,758.80/22,430.64
  6. Step 6: Final answer
    x = 13,933.07

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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.