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Finding the Fourth Proportional to 16,499.16, 22,759.65 and 9,778.32

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Solution

The fourth proportional to 16,499.16, 22,759.65 and 9,778.32 is: 13,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.16 : 22,759.65 = 9,778.32 : x
  2. Step 2: Convert to fraction form
    16,499.16/22,759.65 = 9,778.32/x
  3. Step 3: Cross multiply
    16,499.16x = 22,759.65 × 9,778.32
  4. Step 4: Simplify right side
    16,499.16x = 222,551,140.79
  5. Step 5: Solve for x
    x = 222,551,140.79/16,499.16
  6. Step 6: Final answer
    x = 13,488.63

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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.