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Finding the Fourth Proportional to 16,205, 22,362.92 and 8,753

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Solution

The fourth proportional to 16,205, 22,362.92 and 8,753 is: 12,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205 : 22,362.92 = 8,753 : x
  2. Step 2: Convert to fraction form
    16,205/22,362.92 = 8,753/x
  3. Step 3: Cross multiply
    16,205x = 22,362.92 × 8,753
  4. Step 4: Simplify right side
    16,205x = 195,742,638.76
  5. Step 5: Solve for x
    x = 195,742,638.76/16,205
  6. Step 6: Final answer
    x = 12,079.15

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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.