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Finding the Fourth Proportional to 22,931.64, 34,396.92 and 7,349.40

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Solution

The fourth proportional to 22,931.64, 34,396.92 and 7,349.40 is: 11,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.64 : 34,396.92 = 7,349.40 : x
  2. Step 2: Convert to fraction form
    22,931.64/34,396.92 = 7,349.40/x
  3. Step 3: Cross multiply
    22,931.64x = 34,396.92 × 7,349.40
  4. Step 4: Simplify right side
    22,931.64x = 252,796,723.85
  5. Step 5: Solve for x
    x = 252,796,723.85/22,931.64
  6. Step 6: Final answer
    x = 11,023.93

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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.