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Finding the Fourth Proportional to 16,302.42, 22,497.35 and 9,228.85

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Solution

The fourth proportional to 16,302.42, 22,497.35 and 9,228.85 is: 12,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.42 : 22,497.35 = 9,228.85 : x
  2. Step 2: Convert to fraction form
    16,302.42/22,497.35 = 9,228.85/x
  3. Step 3: Cross multiply
    16,302.42x = 22,497.35 × 9,228.85
  4. Step 4: Simplify right side
    16,302.42x = 207,624,566.16
  5. Step 5: Solve for x
    x = 207,624,566.16/16,302.42
  6. Step 6: Final answer
    x = 12,735.81

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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.