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Finding the Fourth Proportional to 14,078.16, 21,121.92 and 5,313.84

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Solution

The fourth proportional to 14,078.16, 21,121.92 and 5,313.84 is: 7,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.16 : 21,121.92 = 5,313.84 : x
  2. Step 2: Convert to fraction form
    14,078.16/21,121.92 = 5,313.84/x
  3. Step 3: Cross multiply
    14,078.16x = 21,121.92 × 5,313.84
  4. Step 4: Simplify right side
    14,078.16x = 112,238,503.37
  5. Step 5: Solve for x
    x = 112,238,503.37/14,078.16
  6. Step 6: Final answer
    x = 7,972.53

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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.