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Finding the Fourth Proportional to 16,454.63, 22,711.04 and 11,357.30

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Solution

The fourth proportional to 16,454.63, 22,711.04 and 11,357.30 is: 15,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.63 : 22,711.04 = 11,357.30 : x
  2. Step 2: Convert to fraction form
    16,454.63/22,711.04 = 11,357.30/x
  3. Step 3: Cross multiply
    16,454.63x = 22,711.04 × 11,357.30
  4. Step 4: Simplify right side
    16,454.63x = 257,935,924.25
  5. Step 5: Solve for x
    x = 257,935,924.25/16,454.63
  6. Step 6: Final answer
    x = 15,675.59

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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.