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Finding the Fourth Proportional to 16,486.92, 22,747.77 and 9,772.02

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Solution

The fourth proportional to 16,486.92, 22,747.77 and 9,772.02 is: 13,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.92 : 22,747.77 = 9,772.02 : x
  2. Step 2: Convert to fraction form
    16,486.92/22,747.77 = 9,772.02/x
  3. Step 3: Cross multiply
    16,486.92x = 22,747.77 × 9,772.02
  4. Step 4: Simplify right side
    16,486.92x = 222,291,663.40
  5. Step 5: Solve for x
    x = 222,291,663.40/16,486.92
  6. Step 6: Final answer
    x = 13,482.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.