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Finding the Fourth Proportional to 17,700.36, 24,426.30 and 9,742.41

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Solution

The fourth proportional to 17,700.36, 24,426.30 and 9,742.41 is: 13,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.36 : 24,426.30 = 9,742.41 : x
  2. Step 2: Convert to fraction form
    17,700.36/24,426.30 = 9,742.41/x
  3. Step 3: Cross multiply
    17,700.36x = 24,426.30 × 9,742.41
  4. Step 4: Simplify right side
    17,700.36x = 237,971,029.38
  5. Step 5: Solve for x
    x = 237,971,029.38/17,700.36
  6. Step 6: Final answer
    x = 13,444.42

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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.