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Finding the Fourth Proportional to 12,707.34, 19,049.66 and 6,463.86

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Solution

The fourth proportional to 12,707.34, 19,049.66 and 6,463.86 is: 9,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.34 : 19,049.66 = 6,463.86 : x
  2. Step 2: Convert to fraction form
    12,707.34/19,049.66 = 6,463.86/x
  3. Step 3: Cross multiply
    12,707.34x = 19,049.66 × 6,463.86
  4. Step 4: Simplify right side
    12,707.34x = 123,134,335.29
  5. Step 5: Solve for x
    x = 123,134,335.29/12,707.34
  6. Step 6: Final answer
    x = 9,690.02

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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.