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Finding the Fourth Proportional to 22,904.64, 34,354.80 and 7,318.08

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Solution

The fourth proportional to 22,904.64, 34,354.80 and 7,318.08 is: 10,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.64 : 34,354.80 = 7,318.08 : x
  2. Step 2: Convert to fraction form
    22,904.64/34,354.80 = 7,318.08/x
  3. Step 3: Cross multiply
    22,904.64x = 34,354.80 × 7,318.08
  4. Step 4: Simplify right side
    22,904.64x = 251,411,174.78
  5. Step 5: Solve for x
    x = 251,411,174.78/22,904.64
  6. Step 6: Final answer
    x = 10,976.43

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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.