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Finding the Fourth Proportional to 17,362.80, 23,959.31 and 9,809.87

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Solution

The fourth proportional to 17,362.80, 23,959.31 and 9,809.87 is: 13,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.80 : 23,959.31 = 9,809.87 : x
  2. Step 2: Convert to fraction form
    17,362.80/23,959.31 = 9,809.87/x
  3. Step 3: Cross multiply
    17,362.80x = 23,959.31 × 9,809.87
  4. Step 4: Simplify right side
    17,362.80x = 235,037,547.54
  5. Step 5: Solve for x
    x = 235,037,547.54/17,362.80
  6. Step 6: Final answer
    x = 13,536.85

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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.