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Finding the Fourth Proportional to 23,642.82, 35,459.91 and 6,998.94

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Solution

The fourth proportional to 23,642.82, 35,459.91 and 6,998.94 is: 10,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.82 : 35,459.91 = 6,998.94 : x
  2. Step 2: Convert to fraction form
    23,642.82/35,459.91 = 6,998.94/x
  3. Step 3: Cross multiply
    23,642.82x = 35,459.91 × 6,998.94
  4. Step 4: Simplify right side
    23,642.82x = 248,181,782.50
  5. Step 5: Solve for x
    x = 248,181,782.50/23,642.82
  6. Step 6: Final answer
    x = 10,497.13

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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.