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Finding the Fourth Proportional to 19,683, 27,162.54 and 12,610.79

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Solution

The fourth proportional to 19,683, 27,162.54 and 12,610.79 is: 17,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,162.54 = 12,610.79 : x
  2. Step 2: Convert to fraction form
    19,683/27,162.54 = 12,610.79/x
  3. Step 3: Cross multiply
    19,683x = 27,162.54 × 12,610.79
  4. Step 4: Simplify right side
    19,683x = 342,541,053.85
  5. Step 5: Solve for x
    x = 342,541,053.85/19,683
  6. Step 6: Final answer
    x = 17,402.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.