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Finding the Fourth Proportional to 14,117.29, 19,481.85 and 7,829.66

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Solution

The fourth proportional to 14,117.29, 19,481.85 and 7,829.66 is: 10,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.29 : 19,481.85 = 7,829.66 : x
  2. Step 2: Convert to fraction form
    14,117.29/19,481.85 = 7,829.66/x
  3. Step 3: Cross multiply
    14,117.29x = 19,481.85 × 7,829.66
  4. Step 4: Simplify right side
    14,117.29x = 152,536,310.38
  5. Step 5: Solve for x
    x = 152,536,310.38/14,117.29
  6. Step 6: Final answer
    x = 10,804.93

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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.