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Finding the Fourth Proportional to 22,904.64, 34,367.04 and 9,758.40

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Solution

The fourth proportional to 22,904.64, 34,367.04 and 9,758.40 is: 14,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.64 : 34,367.04 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    22,904.64/34,367.04 = 9,758.40/x
  3. Step 3: Cross multiply
    22,904.64x = 34,367.04 × 9,758.40
  4. Step 4: Simplify right side
    22,904.64x = 335,367,323.14
  5. Step 5: Solve for x
    x = 335,367,323.14/22,904.64
  6. Step 6: Final answer
    x = 14,641.89

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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.