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Finding the Fourth Proportional to 16,302.88, 22,497.78 and 9,230.68

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Solution

The fourth proportional to 16,302.88, 22,497.78 and 9,230.68 is: 12,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.88 : 22,497.78 = 9,230.68 : x
  2. Step 2: Convert to fraction form
    16,302.88/22,497.78 = 9,230.68/x
  3. Step 3: Cross multiply
    16,302.88x = 22,497.78 × 9,230.68
  4. Step 4: Simplify right side
    16,302.88x = 207,669,807.89
  5. Step 5: Solve for x
    x = 207,669,807.89/16,302.88
  6. Step 6: Final answer
    x = 12,738.23

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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.