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Finding the Fourth Proportional to 16,165.86, 22,308.80 and 9,092.28

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Solution

The fourth proportional to 16,165.86, 22,308.80 and 9,092.28 is: 12,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.86 : 22,308.80 = 9,092.28 : x
  2. Step 2: Convert to fraction form
    16,165.86/22,308.80 = 9,092.28/x
  3. Step 3: Cross multiply
    16,165.86x = 22,308.80 × 9,092.28
  4. Step 4: Simplify right side
    16,165.86x = 202,837,856.06
  5. Step 5: Solve for x
    x = 202,837,856.06/16,165.86
  6. Step 6: Final answer
    x = 12,547.30

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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.