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Finding the Fourth Proportional to 22,777.62, 34,184.64 and 9,639.14

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Solution

The fourth proportional to 22,777.62, 34,184.64 and 9,639.14 is: 14,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.62 : 34,184.64 = 9,639.14 : x
  2. Step 2: Convert to fraction form
    22,777.62/34,184.64 = 9,639.14/x
  3. Step 3: Cross multiply
    22,777.62x = 34,184.64 × 9,639.14
  4. Step 4: Simplify right side
    22,777.62x = 329,510,530.81
  5. Step 5: Solve for x
    x = 329,510,530.81/22,777.62
  6. Step 6: Final answer
    x = 14,466.42

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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.