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Finding the Fourth Proportional to 16,148.26, 22,284.75 and 9,775

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Solution

The fourth proportional to 16,148.26, 22,284.75 and 9,775 is: 13,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.26 : 22,284.75 = 9,775 : x
  2. Step 2: Convert to fraction form
    16,148.26/22,284.75 = 9,775/x
  3. Step 3: Cross multiply
    16,148.26x = 22,284.75 × 9,775
  4. Step 4: Simplify right side
    16,148.26x = 217,833,431.25
  5. Step 5: Solve for x
    x = 217,833,431.25/16,148.26
  6. Step 6: Final answer
    x = 13,489.59

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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.