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Finding the Fourth Proportional to 24,335.73, 36,509.67 and 6,805.42

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Solution

The fourth proportional to 24,335.73, 36,509.67 and 6,805.42 is: 10,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.73 : 36,509.67 = 6,805.42 : x
  2. Step 2: Convert to fraction form
    24,335.73/36,509.67 = 6,805.42/x
  3. Step 3: Cross multiply
    24,335.73x = 36,509.67 × 6,805.42
  4. Step 4: Simplify right side
    24,335.73x = 248,463,547.14
  5. Step 5: Solve for x
    x = 248,463,547.14/24,335.73
  6. Step 6: Final answer
    x = 10,209.83

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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.