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Finding the Fourth Proportional to 16,284.08, 22,462.44 and 9,992

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Solution

The fourth proportional to 16,284.08, 22,462.44 and 9,992 is: 13,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.08 : 22,462.44 = 9,992 : x
  2. Step 2: Convert to fraction form
    16,284.08/22,462.44 = 9,992/x
  3. Step 3: Cross multiply
    16,284.08x = 22,462.44 × 9,992
  4. Step 4: Simplify right side
    16,284.08x = 224,444,700.48
  5. Step 5: Solve for x
    x = 224,444,700.48/16,284.08
  6. Step 6: Final answer
    x = 13,783.08

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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.