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Finding the Fourth Proportional to 12,193.62, 18,271.35 and 9,427.11

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Solution

The fourth proportional to 12,193.62, 18,271.35 and 9,427.11 is: 14,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.62 : 18,271.35 = 9,427.11 : x
  2. Step 2: Convert to fraction form
    12,193.62/18,271.35 = 9,427.11/x
  3. Step 3: Cross multiply
    12,193.62x = 18,271.35 × 9,427.11
  4. Step 4: Simplify right side
    12,193.62x = 172,246,026.30
  5. Step 5: Solve for x
    x = 172,246,026.30/12,193.62
  6. Step 6: Final answer
    x = 14,125.91

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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.