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Finding the Fourth Proportional to 16,165.68, 22,308.63 and 9,092.10

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Solution

The fourth proportional to 16,165.68, 22,308.63 and 9,092.10 is: 12,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.68 : 22,308.63 = 9,092.10 : x
  2. Step 2: Convert to fraction form
    16,165.68/22,308.63 = 9,092.10/x
  3. Step 3: Cross multiply
    16,165.68x = 22,308.63 × 9,092.10
  4. Step 4: Simplify right side
    16,165.68x = 202,832,183.28
  5. Step 5: Solve for x
    x = 202,832,183.28/16,165.68
  6. Step 6: Final answer
    x = 12,547.09

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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.