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Finding the Fourth Proportional to 16,362.75, 22,580.64 and 9,290.28

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Solution

The fourth proportional to 16,362.75, 22,580.64 and 9,290.28 is: 12,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.75 : 22,580.64 = 9,290.28 : x
  2. Step 2: Convert to fraction form
    16,362.75/22,580.64 = 9,290.28/x
  3. Step 3: Cross multiply
    16,362.75x = 22,580.64 × 9,290.28
  4. Step 4: Simplify right side
    16,362.75x = 209,780,468.18
  5. Step 5: Solve for x
    x = 209,780,468.18/16,362.75
  6. Step 6: Final answer
    x = 12,820.61

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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.