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Finding the Fourth Proportional to 14,117.66, 19,481.82 and 7,829.90

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Solution

The fourth proportional to 14,117.66, 19,481.82 and 7,829.90 is: 10,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.66 : 19,481.82 = 7,829.90 : x
  2. Step 2: Convert to fraction form
    14,117.66/19,481.82 = 7,829.90/x
  3. Step 3: Cross multiply
    14,117.66x = 19,481.82 × 7,829.90
  4. Step 4: Simplify right side
    14,117.66x = 152,540,702.42
  5. Step 5: Solve for x
    x = 152,540,702.42/14,117.66
  6. Step 6: Final answer
    x = 10,804.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.