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Finding the Fourth Proportional to 16,193.64, 22,347.32 and 9,120.20

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Solution

The fourth proportional to 16,193.64, 22,347.32 and 9,120.20 is: 12,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.64 : 22,347.32 = 9,120.20 : x
  2. Step 2: Convert to fraction form
    16,193.64/22,347.32 = 9,120.20/x
  3. Step 3: Cross multiply
    16,193.64x = 22,347.32 × 9,120.20
  4. Step 4: Simplify right side
    16,193.64x = 203,812,027.86
  5. Step 5: Solve for x
    x = 203,812,027.86/16,193.64
  6. Step 6: Final answer
    x = 12,585.93

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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.