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Finding the Fourth Proportional to 14,614.71, 20,168.16 and 7,900.26

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Solution

The fourth proportional to 14,614.71, 20,168.16 and 7,900.26 is: 10,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.71 : 20,168.16 = 7,900.26 : x
  2. Step 2: Convert to fraction form
    14,614.71/20,168.16 = 7,900.26/x
  3. Step 3: Cross multiply
    14,614.71x = 20,168.16 × 7,900.26
  4. Step 4: Simplify right side
    14,614.71x = 159,333,707.72
  5. Step 5: Solve for x
    x = 159,333,707.72/14,614.71
  6. Step 6: Final answer
    x = 10,902.28

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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.