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Finding the Fourth Proportional to 19,891, 29,836.68 and 6,040

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Solution

The fourth proportional to 19,891, 29,836.68 and 6,040 is: 9,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891 : 29,836.68 = 6,040 : x
  2. Step 2: Convert to fraction form
    19,891/29,836.68 = 6,040/x
  3. Step 3: Cross multiply
    19,891x = 29,836.68 × 6,040
  4. Step 4: Simplify right side
    19,891x = 180,213,547.20
  5. Step 5: Solve for x
    x = 180,213,547.20/19,891
  6. Step 6: Final answer
    x = 9,060.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.