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Finding the Fourth Proportional to 16,476.10, 22,738.64 and 9,403.58

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Solution

The fourth proportional to 16,476.10, 22,738.64 and 9,403.58 is: 12,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.10 : 22,738.64 = 9,403.58 : x
  2. Step 2: Convert to fraction form
    16,476.10/22,738.64 = 9,403.58/x
  3. Step 3: Cross multiply
    16,476.10x = 22,738.64 × 9,403.58
  4. Step 4: Simplify right side
    16,476.10x = 213,824,620.33
  5. Step 5: Solve for x
    x = 213,824,620.33/16,476.10
  6. Step 6: Final answer
    x = 12,977.87

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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.