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Finding the Fourth Proportional to 12,230.16, 16,877.88 and 7,262.16

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Solution

The fourth proportional to 12,230.16, 16,877.88 and 7,262.16 is: 10,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.16 : 16,877.88 = 7,262.16 : x
  2. Step 2: Convert to fraction form
    12,230.16/16,877.88 = 7,262.16/x
  3. Step 3: Cross multiply
    12,230.16x = 16,877.88 × 7,262.16
  4. Step 4: Simplify right side
    12,230.16x = 122,569,865.02
  5. Step 5: Solve for x
    x = 122,569,865.02/12,230.16
  6. Step 6: Final answer
    x = 10,021.93

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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.