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Finding the Fourth Proportional to 16,106.63, 22,227.13 and 9,032.99

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Solution

The fourth proportional to 16,106.63, 22,227.13 and 9,032.99 is: 12,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.63 : 22,227.13 = 9,032.99 : x
  2. Step 2: Convert to fraction form
    16,106.63/22,227.13 = 9,032.99/x
  3. Step 3: Cross multiply
    16,106.63x = 22,227.13 × 9,032.99
  4. Step 4: Simplify right side
    16,106.63x = 200,777,476.00
  5. Step 5: Solve for x
    x = 200,777,476.00/16,106.63
  6. Step 6: Final answer
    x = 12,465.52

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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.