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Finding the Fourth Proportional to 12,831.50, 17,639.57 and 11,032.34

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Solution

The fourth proportional to 12,831.50, 17,639.57 and 11,032.34 is: 15,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.50 : 17,639.57 = 11,032.34 : x
  2. Step 2: Convert to fraction form
    12,831.50/17,639.57 = 11,032.34/x
  3. Step 3: Cross multiply
    12,831.50x = 17,639.57 × 11,032.34
  4. Step 4: Simplify right side
    12,831.50x = 194,605,590.33
  5. Step 5: Solve for x
    x = 194,605,590.33/12,831.50
  6. Step 6: Final answer
    x = 15,166.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.