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Finding the Fourth Proportional to 12,974.60, 19,424.10 and 9,702.20

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Solution

The fourth proportional to 12,974.60, 19,424.10 and 9,702.20 is: 14,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.60 : 19,424.10 = 9,702.20 : x
  2. Step 2: Convert to fraction form
    12,974.60/19,424.10 = 9,702.20/x
  3. Step 3: Cross multiply
    12,974.60x = 19,424.10 × 9,702.20
  4. Step 4: Simplify right side
    12,974.60x = 188,456,503.02
  5. Step 5: Solve for x
    x = 188,456,503.02/12,974.60
  6. Step 6: Final answer
    x = 14,525.03

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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.