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Finding the Fourth Proportional to 17,666.74, 26,487.36 and 8,907.82

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Solution

The fourth proportional to 17,666.74, 26,487.36 and 8,907.82 is: 13,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.74 : 26,487.36 = 8,907.82 : x
  2. Step 2: Convert to fraction form
    17,666.74/26,487.36 = 8,907.82/x
  3. Step 3: Cross multiply
    17,666.74x = 26,487.36 × 8,907.82
  4. Step 4: Simplify right side
    17,666.74x = 235,944,635.16
  5. Step 5: Solve for x
    x = 235,944,635.16/17,666.74
  6. Step 6: Final answer
    x = 13,355.30

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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.