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Finding the Fourth Proportional to 16,238.34, 22,410.62 and 9,529.60

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Solution

The fourth proportional to 16,238.34, 22,410.62 and 9,529.60 is: 13,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.34 : 22,410.62 = 9,529.60 : x
  2. Step 2: Convert to fraction form
    16,238.34/22,410.62 = 9,529.60/x
  3. Step 3: Cross multiply
    16,238.34x = 22,410.62 × 9,529.60
  4. Step 4: Simplify right side
    16,238.34x = 213,564,244.35
  5. Step 5: Solve for x
    x = 213,564,244.35/16,238.34
  6. Step 6: Final answer
    x = 13,151.85

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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.