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Finding the Fourth Proportional to 16,302.72, 22,497.72 and 9,228.96

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Solution

The fourth proportional to 16,302.72, 22,497.72 and 9,228.96 is: 12,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.72 : 22,497.72 = 9,228.96 : x
  2. Step 2: Convert to fraction form
    16,302.72/22,497.72 = 9,228.96/x
  3. Step 3: Cross multiply
    16,302.72x = 22,497.72 × 9,228.96
  4. Step 4: Simplify right side
    16,302.72x = 207,630,557.97
  5. Step 5: Solve for x
    x = 207,630,557.97/16,302.72
  6. Step 6: Final answer
    x = 12,735.95

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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.