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Finding the Fourth Proportional to 16,634.72, 22,956 and 9,182.72

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Solution

The fourth proportional to 16,634.72, 22,956 and 9,182.72 is: 12,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.72 : 22,956 = 9,182.72 : x
  2. Step 2: Convert to fraction form
    16,634.72/22,956 = 9,182.72/x
  3. Step 3: Cross multiply
    16,634.72x = 22,956 × 9,182.72
  4. Step 4: Simplify right side
    16,634.72x = 210,798,520.32
  5. Step 5: Solve for x
    x = 210,798,520.32/16,634.72
  6. Step 6: Final answer
    x = 12,672.20

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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.