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Finding the Fourth Proportional to 12,922.16, 17,831.22 and 7,257.56

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Solution

The fourth proportional to 12,922.16, 17,831.22 and 7,257.56 is: 10,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.16 : 17,831.22 = 7,257.56 : x
  2. Step 2: Convert to fraction form
    12,922.16/17,831.22 = 7,257.56/x
  3. Step 3: Cross multiply
    12,922.16x = 17,831.22 × 7,257.56
  4. Step 4: Simplify right side
    12,922.16x = 129,411,149.02
  5. Step 5: Solve for x
    x = 129,411,149.02/12,922.16
  6. Step 6: Final answer
    x = 10,014.67

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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.