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Finding the Fourth Proportional to 17,788.50, 26,697.72 and 8,901.16

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Solution

The fourth proportional to 17,788.50, 26,697.72 and 8,901.16 is: 13,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.50 : 26,697.72 = 8,901.16 : x
  2. Step 2: Convert to fraction form
    17,788.50/26,697.72 = 8,901.16/x
  3. Step 3: Cross multiply
    17,788.50x = 26,697.72 × 8,901.16
  4. Step 4: Simplify right side
    17,788.50x = 237,640,677.36
  5. Step 5: Solve for x
    x = 237,640,677.36/17,788.50
  6. Step 6: Final answer
    x = 13,359.23

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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.