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Finding the Fourth Proportional to 16,433.64, 22,697.28 and 11,977.29

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Solution

The fourth proportional to 16,433.64, 22,697.28 and 11,977.29 is: 16,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.64 : 22,697.28 = 11,977.29 : x
  2. Step 2: Convert to fraction form
    16,433.64/22,697.28 = 11,977.29/x
  3. Step 3: Cross multiply
    16,433.64x = 22,697.28 × 11,977.29
  4. Step 4: Simplify right side
    16,433.64x = 271,851,904.77
  5. Step 5: Solve for x
    x = 271,851,904.77/16,433.64
  6. Step 6: Final answer
    x = 16,542.40

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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.