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Finding the Fourth Proportional to 21,149.17, 31,736.07 and 7,831.38

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Solution

The fourth proportional to 21,149.17, 31,736.07 and 7,831.38 is: 11,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.17 : 31,736.07 = 7,831.38 : x
  2. Step 2: Convert to fraction form
    21,149.17/31,736.07 = 7,831.38/x
  3. Step 3: Cross multiply
    21,149.17x = 31,736.07 × 7,831.38
  4. Step 4: Simplify right side
    21,149.17x = 248,537,342.89
  5. Step 5: Solve for x
    x = 248,537,342.89/21,149.17
  6. Step 6: Final answer
    x = 11,751.64

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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.