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Finding the Fourth Proportional to 20,313.35, 30,466.93 and 7,831.56

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Solution

The fourth proportional to 20,313.35, 30,466.93 and 7,831.56 is: 11,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.35 : 30,466.93 = 7,831.56 : x
  2. Step 2: Convert to fraction form
    20,313.35/30,466.93 = 7,831.56/x
  3. Step 3: Cross multiply
    20,313.35x = 30,466.93 × 7,831.56
  4. Step 4: Simplify right side
    20,313.35x = 238,603,457.56
  5. Step 5: Solve for x
    x = 238,603,457.56/20,313.35
  6. Step 6: Final answer
    x = 11,746.14

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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.