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Finding the Fourth Proportional to 15,882.84, 21,918.16 and 8,809.24

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Solution

The fourth proportional to 15,882.84, 21,918.16 and 8,809.24 is: 12,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.84 : 21,918.16 = 8,809.24 : x
  2. Step 2: Convert to fraction form
    15,882.84/21,918.16 = 8,809.24/x
  3. Step 3: Cross multiply
    15,882.84x = 21,918.16 × 8,809.24
  4. Step 4: Simplify right side
    15,882.84x = 193,082,331.80
  5. Step 5: Solve for x
    x = 193,082,331.80/15,882.84
  6. Step 6: Final answer
    x = 12,156.66

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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.