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Finding the Fourth Proportional to 12,781.38, 19,190.01 and 6,545.88

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Solution

The fourth proportional to 12,781.38, 19,190.01 and 6,545.88 is: 9,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.38 : 19,190.01 = 6,545.88 : x
  2. Step 2: Convert to fraction form
    12,781.38/19,190.01 = 6,545.88/x
  3. Step 3: Cross multiply
    12,781.38x = 19,190.01 × 6,545.88
  4. Step 4: Simplify right side
    12,781.38x = 125,615,502.66
  5. Step 5: Solve for x
    x = 125,615,502.66/12,781.38
  6. Step 6: Final answer
    x = 9,828.01

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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.