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Finding the Fourth Proportional to 12,831.99, 17,707.95 and 7,166.83

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Solution

The fourth proportional to 12,831.99, 17,707.95 and 7,166.83 is: 9,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.99 : 17,707.95 = 7,166.83 : x
  2. Step 2: Convert to fraction form
    12,831.99/17,707.95 = 7,166.83/x
  3. Step 3: Cross multiply
    12,831.99x = 17,707.95 × 7,166.83
  4. Step 4: Simplify right side
    12,831.99x = 126,909,856.23
  5. Step 5: Solve for x
    x = 126,909,856.23/12,831.99
  6. Step 6: Final answer
    x = 9,890.12

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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.