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Finding the Fourth Proportional to 19,851.12, 29,781 and 6,702.93

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Solution

The fourth proportional to 19,851.12, 29,781 and 6,702.93 is: 10,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.12 : 29,781 = 6,702.93 : x
  2. Step 2: Convert to fraction form
    19,851.12/29,781 = 6,702.93/x
  3. Step 3: Cross multiply
    19,851.12x = 29,781 × 6,702.93
  4. Step 4: Simplify right side
    19,851.12x = 199,619,958.33
  5. Step 5: Solve for x
    x = 199,619,958.33/19,851.12
  6. Step 6: Final answer
    x = 10,055.85

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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.