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Finding the Fourth Proportional to 12,702.67, 19,054.59 and 6,134.38

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Solution

The fourth proportional to 12,702.67, 19,054.59 and 6,134.38 is: 9,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.67 : 19,054.59 = 6,134.38 : x
  2. Step 2: Convert to fraction form
    12,702.67/19,054.59 = 6,134.38/x
  3. Step 3: Cross multiply
    12,702.67x = 19,054.59 × 6,134.38
  4. Step 4: Simplify right side
    12,702.67x = 116,888,095.80
  5. Step 5: Solve for x
    x = 116,888,095.80/12,702.67
  6. Step 6: Final answer
    x = 9,201.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.