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Finding the Fourth Proportional to 14,399.64, 19,873.32 and 8,113.20

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Solution

The fourth proportional to 14,399.64, 19,873.32 and 8,113.20 is: 11,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.64 : 19,873.32 = 8,113.20 : x
  2. Step 2: Convert to fraction form
    14,399.64/19,873.32 = 8,113.20/x
  3. Step 3: Cross multiply
    14,399.64x = 19,873.32 × 8,113.20
  4. Step 4: Simplify right side
    14,399.64x = 161,236,219.82
  5. Step 5: Solve for x
    x = 161,236,219.82/14,399.64
  6. Step 6: Final answer
    x = 11,197.24

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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.