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Finding the Fourth Proportional to 17,919.13, 24,729.03 and 9,853.40

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Solution

The fourth proportional to 17,919.13, 24,729.03 and 9,853.40 is: 13,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.13 : 24,729.03 = 9,853.40 : x
  2. Step 2: Convert to fraction form
    17,919.13/24,729.03 = 9,853.40/x
  3. Step 3: Cross multiply
    17,919.13x = 24,729.03 × 9,853.40
  4. Step 4: Simplify right side
    17,919.13x = 243,664,919.03
  5. Step 5: Solve for x
    x = 243,664,919.03/17,919.13
  6. Step 6: Final answer
    x = 13,598.03

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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.