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Finding the Fourth Proportional to 12,702.30, 19,035.29 and 7,143.98

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Solution

The fourth proportional to 12,702.30, 19,035.29 and 7,143.98 is: 10,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.30 : 19,035.29 = 7,143.98 : x
  2. Step 2: Convert to fraction form
    12,702.30/19,035.29 = 7,143.98/x
  3. Step 3: Cross multiply
    12,702.30x = 19,035.29 × 7,143.98
  4. Step 4: Simplify right side
    12,702.30x = 135,987,731.05
  5. Step 5: Solve for x
    x = 135,987,731.05/12,702.30
  6. Step 6: Final answer
    x = 10,705.76

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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.