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Finding the Fourth Proportional to 16,288.74, 22,477.05 and 9,215.82

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Solution

The fourth proportional to 16,288.74, 22,477.05 and 9,215.82 is: 12,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.74 : 22,477.05 = 9,215.82 : x
  2. Step 2: Convert to fraction form
    16,288.74/22,477.05 = 9,215.82/x
  3. Step 3: Cross multiply
    16,288.74x = 22,477.05 × 9,215.82
  4. Step 4: Simplify right side
    16,288.74x = 207,144,446.93
  5. Step 5: Solve for x
    x = 207,144,446.93/16,288.74
  6. Step 6: Final answer
    x = 12,717.03

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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.