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Finding the Fourth Proportional to 16,319.82, 22,523.16 and 9,246.72

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Solution

The fourth proportional to 16,319.82, 22,523.16 and 9,246.72 is: 12,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.82 : 22,523.16 = 9,246.72 : x
  2. Step 2: Convert to fraction form
    16,319.82/22,523.16 = 9,246.72/x
  3. Step 3: Cross multiply
    16,319.82x = 22,523.16 × 9,246.72
  4. Step 4: Simplify right side
    16,319.82x = 208,265,354.04
  5. Step 5: Solve for x
    x = 208,265,354.04/16,319.82
  6. Step 6: Final answer
    x = 12,761.50

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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.