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Finding the Fourth Proportional to 19,442.80, 29,166.78 and 6,292

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Solution

The fourth proportional to 19,442.80, 29,166.78 and 6,292 is: 9,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442.80 : 29,166.78 = 6,292 : x
  2. Step 2: Convert to fraction form
    19,442.80/29,166.78 = 6,292/x
  3. Step 3: Cross multiply
    19,442.80x = 29,166.78 × 6,292
  4. Step 4: Simplify right side
    19,442.80x = 183,517,379.76
  5. Step 5: Solve for x
    x = 183,517,379.76/19,442.80
  6. Step 6: Final answer
    x = 9,438.83

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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.