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Finding the Fourth Proportional to 16,201.36, 24,247.14 and 9,965.32

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Solution

The fourth proportional to 16,201.36, 24,247.14 and 9,965.32 is: 14,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.36 : 24,247.14 = 9,965.32 : x
  2. Step 2: Convert to fraction form
    16,201.36/24,247.14 = 9,965.32/x
  3. Step 3: Cross multiply
    16,201.36x = 24,247.14 × 9,965.32
  4. Step 4: Simplify right side
    16,201.36x = 241,630,509.18
  5. Step 5: Solve for x
    x = 241,630,509.18/16,201.36
  6. Step 6: Final answer
    x = 14,914.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.