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Finding the Fourth Proportional to 14,598, 20,183.64 and 13,945.20

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Solution

The fourth proportional to 14,598, 20,183.64 and 13,945.20 is: 19,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 20,183.64 = 13,945.20 : x
  2. Step 2: Convert to fraction form
    14,598/20,183.64 = 13,945.20/x
  3. Step 3: Cross multiply
    14,598x = 20,183.64 × 13,945.20
  4. Step 4: Simplify right side
    14,598x = 281,464,896.53
  5. Step 5: Solve for x
    x = 281,464,896.53/14,598
  6. Step 6: Final answer
    x = 19,281.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.