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Finding the Fourth Proportional to 17,230.65, 23,776.51 and 9,677.80

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Solution

The fourth proportional to 17,230.65, 23,776.51 and 9,677.80 is: 13,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.65 : 23,776.51 = 9,677.80 : x
  2. Step 2: Convert to fraction form
    17,230.65/23,776.51 = 9,677.80/x
  3. Step 3: Cross multiply
    17,230.65x = 23,776.51 × 9,677.80
  4. Step 4: Simplify right side
    17,230.65x = 230,104,308.48
  5. Step 5: Solve for x
    x = 230,104,308.48/17,230.65
  6. Step 6: Final answer
    x = 13,354.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.