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Finding the Fourth Proportional to 17,839.19, 24,619.43 and 9,882.16

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Solution

The fourth proportional to 17,839.19, 24,619.43 and 9,882.16 is: 13,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.19 : 24,619.43 = 9,882.16 : x
  2. Step 2: Convert to fraction form
    17,839.19/24,619.43 = 9,882.16/x
  3. Step 3: Cross multiply
    17,839.19x = 24,619.43 × 9,882.16
  4. Step 4: Simplify right side
    17,839.19x = 243,293,146.37
  5. Step 5: Solve for x
    x = 243,293,146.37/17,839.19
  6. Step 6: Final answer
    x = 13,638.13

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Why These Related Problems?

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