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Finding the Fourth Proportional to 15,996.29, 22,075.34 and 8,923.17

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Solution

The fourth proportional to 15,996.29, 22,075.34 and 8,923.17 is: 12,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996.29 : 22,075.34 = 8,923.17 : x
  2. Step 2: Convert to fraction form
    15,996.29/22,075.34 = 8,923.17/x
  3. Step 3: Cross multiply
    15,996.29x = 22,075.34 × 8,923.17
  4. Step 4: Simplify right side
    15,996.29x = 196,981,967.01
  5. Step 5: Solve for x
    x = 196,981,967.01/15,996.29
  6. Step 6: Final answer
    x = 12,314.23

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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.