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Finding the Fourth Proportional to 16,147.08, 22,282.98 and 9,858.28

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Solution

The fourth proportional to 16,147.08, 22,282.98 and 9,858.28 is: 13,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.08 : 22,282.98 = 9,858.28 : x
  2. Step 2: Convert to fraction form
    16,147.08/22,282.98 = 9,858.28/x
  3. Step 3: Cross multiply
    16,147.08x = 22,282.98 × 9,858.28
  4. Step 4: Simplify right side
    16,147.08x = 219,671,856.07
  5. Step 5: Solve for x
    x = 219,671,856.07/16,147.08
  6. Step 6: Final answer
    x = 13,604.43

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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.