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Finding the Fourth Proportional to 16,274.77, 22,455.15 and 9,201.04

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Solution

The fourth proportional to 16,274.77, 22,455.15 and 9,201.04 is: 12,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.77 : 22,455.15 = 9,201.04 : x
  2. Step 2: Convert to fraction form
    16,274.77/22,455.15 = 9,201.04/x
  3. Step 3: Cross multiply
    16,274.77x = 22,455.15 × 9,201.04
  4. Step 4: Simplify right side
    16,274.77x = 206,610,733.36
  5. Step 5: Solve for x
    x = 206,610,733.36/16,274.77
  6. Step 6: Final answer
    x = 12,695.16

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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.