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Finding the Fourth Proportional to 12,702.30, 19,057.23 and 3,938.10

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Solution

The fourth proportional to 12,702.30, 19,057.23 and 3,938.10 is: 5,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.30 : 19,057.23 = 3,938.10 : x
  2. Step 2: Convert to fraction form
    12,702.30/19,057.23 = 3,938.10/x
  3. Step 3: Cross multiply
    12,702.30x = 19,057.23 × 3,938.10
  4. Step 4: Simplify right side
    12,702.30x = 75,049,277.46
  5. Step 5: Solve for x
    x = 75,049,277.46/12,702.30
  6. Step 6: Final answer
    x = 5,908.32

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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.