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Finding the Fourth Proportional to 16,166.05, 22,308.92 and 9,092.47

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Solution

The fourth proportional to 16,166.05, 22,308.92 and 9,092.47 is: 12,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.05 : 22,308.92 = 9,092.47 : x
  2. Step 2: Convert to fraction form
    16,166.05/22,308.92 = 9,092.47/x
  3. Step 3: Cross multiply
    16,166.05x = 22,308.92 × 9,092.47
  4. Step 4: Simplify right side
    16,166.05x = 202,843,074.29
  5. Step 5: Solve for x
    x = 202,843,074.29/16,166.05
  6. Step 6: Final answer
    x = 12,547.48

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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.