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Finding the Fourth Proportional to 16,595, 22,901.14 and 9,143

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Solution

The fourth proportional to 16,595, 22,901.14 and 9,143 is: 12,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595 : 22,901.14 = 9,143 : x
  2. Step 2: Convert to fraction form
    16,595/22,901.14 = 9,143/x
  3. Step 3: Cross multiply
    16,595x = 22,901.14 × 9,143
  4. Step 4: Simplify right side
    16,595x = 209,385,123.02
  5. Step 5: Solve for x
    x = 209,385,123.02/16,595
  6. Step 6: Final answer
    x = 12,617.36

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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.