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Finding the Fourth Proportional to 16,305.72, 22,477.14 and 13,438.32

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Solution

The fourth proportional to 16,305.72, 22,477.14 and 13,438.32 is: 18,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.72 : 22,477.14 = 13,438.32 : x
  2. Step 2: Convert to fraction form
    16,305.72/22,477.14 = 13,438.32/x
  3. Step 3: Cross multiply
    16,305.72x = 22,477.14 × 13,438.32
  4. Step 4: Simplify right side
    16,305.72x = 302,055,000.00
  5. Step 5: Solve for x
    x = 302,055,000.00/16,305.72
  6. Step 6: Final answer
    x = 18,524.48

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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.