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Finding the Fourth Proportional to 12,992.20, 19,497.90 and 9,695.08

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Solution

The fourth proportional to 12,992.20, 19,497.90 and 9,695.08 is: 14,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.20 : 19,497.90 = 9,695.08 : x
  2. Step 2: Convert to fraction form
    12,992.20/19,497.90 = 9,695.08/x
  3. Step 3: Cross multiply
    12,992.20x = 19,497.90 × 9,695.08
  4. Step 4: Simplify right side
    12,992.20x = 189,033,700.33
  5. Step 5: Solve for x
    x = 189,033,700.33/12,992.20
  6. Step 6: Final answer
    x = 14,549.78

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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.