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Finding the Fourth Proportional to 17,882.19, 24,680.36 and 10,809.68

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Solution

The fourth proportional to 17,882.19, 24,680.36 and 10,809.68 is: 14,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.19 : 24,680.36 = 10,809.68 : x
  2. Step 2: Convert to fraction form
    17,882.19/24,680.36 = 10,809.68/x
  3. Step 3: Cross multiply
    17,882.19x = 24,680.36 × 10,809.68
  4. Step 4: Simplify right side
    17,882.19x = 266,786,697.51
  5. Step 5: Solve for x
    x = 266,786,697.51/17,882.19
  6. Step 6: Final answer
    x = 14,919.13

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1.5x scale

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.