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Finding the Fourth Proportional to 12,702.20, 19,015.86 and 9,429.80

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Solution

The fourth proportional to 12,702.20, 19,015.86 and 9,429.80 is: 14,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.20 : 19,015.86 = 9,429.80 : x
  2. Step 2: Convert to fraction form
    12,702.20/19,015.86 = 9,429.80/x
  3. Step 3: Cross multiply
    12,702.20x = 19,015.86 × 9,429.80
  4. Step 4: Simplify right side
    12,702.20x = 179,315,756.63
  5. Step 5: Solve for x
    x = 179,315,756.63/12,702.20
  6. Step 6: Final answer
    x = 14,116.91

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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.