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Finding the Fourth Proportional to 12,831.50, 17,707.75 and 8,051.65

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Solution

The fourth proportional to 12,831.50, 17,707.75 and 8,051.65 is: 11,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.50 : 17,707.75 = 8,051.65 : x
  2. Step 2: Convert to fraction form
    12,831.50/17,707.75 = 8,051.65/x
  3. Step 3: Cross multiply
    12,831.50x = 17,707.75 × 8,051.65
  4. Step 4: Simplify right side
    12,831.50x = 142,576,540.89
  5. Step 5: Solve for x
    x = 142,576,540.89/12,831.50
  6. Step 6: Final answer
    x = 11,111.45

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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.