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Finding the Fourth Proportional to 14,830.02, 20,464.54 and 8,114.31

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Solution

The fourth proportional to 14,830.02, 20,464.54 and 8,114.31 is: 11,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.02 : 20,464.54 = 8,114.31 : x
  2. Step 2: Convert to fraction form
    14,830.02/20,464.54 = 8,114.31/x
  3. Step 3: Cross multiply
    14,830.02x = 20,464.54 × 8,114.31
  4. Step 4: Simplify right side
    14,830.02x = 166,055,621.57
  5. Step 5: Solve for x
    x = 166,055,621.57/14,830.02
  6. Step 6: Final answer
    x = 11,197.26

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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.