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Finding the Fourth Proportional to 17,764.10, 26,611.05 and 9,005.30

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Solution

The fourth proportional to 17,764.10, 26,611.05 and 9,005.30 is: 13,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.10 : 26,611.05 = 9,005.30 : x
  2. Step 2: Convert to fraction form
    17,764.10/26,611.05 = 9,005.30/x
  3. Step 3: Cross multiply
    17,764.10x = 26,611.05 × 9,005.30
  4. Step 4: Simplify right side
    17,764.10x = 239,640,488.57
  5. Step 5: Solve for x
    x = 239,640,488.57/17,764.10
  6. Step 6: Final answer
    x = 13,490.16

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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.