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Finding the Fourth Proportional to 14,906.44, 20,568 and 10,130.16

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Solution

The fourth proportional to 14,906.44, 20,568 and 10,130.16 is: 13,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.44 : 20,568 = 10,130.16 : x
  2. Step 2: Convert to fraction form
    14,906.44/20,568 = 10,130.16/x
  3. Step 3: Cross multiply
    14,906.44x = 20,568 × 10,130.16
  4. Step 4: Simplify right side
    14,906.44x = 208,357,130.88
  5. Step 5: Solve for x
    x = 208,357,130.88/14,906.44
  6. Step 6: Final answer
    x = 13,977.66

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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.