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Finding the Fourth Proportional to 16,293.94, 22,485.74 and 9,221.83

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Solution

The fourth proportional to 16,293.94, 22,485.74 and 9,221.83 is: 12,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.94 : 22,485.74 = 9,221.83 : x
  2. Step 2: Convert to fraction form
    16,293.94/22,485.74 = 9,221.83/x
  3. Step 3: Cross multiply
    16,293.94x = 22,485.74 × 9,221.83
  4. Step 4: Simplify right side
    16,293.94x = 207,359,569.38
  5. Step 5: Solve for x
    x = 207,359,569.38/16,293.94
  6. Step 6: Final answer
    x = 12,726.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.