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Finding the Fourth Proportional to 19,992.67, 29,985.92 and 6,842.02

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Solution

The fourth proportional to 19,992.67, 29,985.92 and 6,842.02 is: 10,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.67 : 29,985.92 = 6,842.02 : x
  2. Step 2: Convert to fraction form
    19,992.67/29,985.92 = 6,842.02/x
  3. Step 3: Cross multiply
    19,992.67x = 29,985.92 × 6,842.02
  4. Step 4: Simplify right side
    19,992.67x = 205,164,264.36
  5. Step 5: Solve for x
    x = 205,164,264.36/19,992.67
  6. Step 6: Final answer
    x = 10,261.97

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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.