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Finding the Fourth Proportional to 13,900.42, 20,838.07 and 5,133.18

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Solution

The fourth proportional to 13,900.42, 20,838.07 and 5,133.18 is: 7,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.42 : 20,838.07 = 5,133.18 : x
  2. Step 2: Convert to fraction form
    13,900.42/20,838.07 = 5,133.18/x
  3. Step 3: Cross multiply
    13,900.42x = 20,838.07 × 5,133.18
  4. Step 4: Simplify right side
    13,900.42x = 106,965,564.16
  5. Step 5: Solve for x
    x = 106,965,564.16/13,900.42
  6. Step 6: Final answer
    x = 7,695.13

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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.