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Finding the Fourth Proportional to 17,643.65, 26,472.33 and 7,775.96

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Solution

The fourth proportional to 17,643.65, 26,472.33 and 7,775.96 is: 11,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.65 : 26,472.33 = 7,775.96 : x
  2. Step 2: Convert to fraction form
    17,643.65/26,472.33 = 7,775.96/x
  3. Step 3: Cross multiply
    17,643.65x = 26,472.33 × 7,775.96
  4. Step 4: Simplify right side
    17,643.65x = 205,847,646.83
  5. Step 5: Solve for x
    x = 205,847,646.83/17,643.65
  6. Step 6: Final answer
    x = 11,666.96

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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.