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Finding the Fourth Proportional to 16,537.68, 22,816.26 and 10,572.84

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Solution

The fourth proportional to 16,537.68, 22,816.26 and 10,572.84 is: 14,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.68 : 22,816.26 = 10,572.84 : x
  2. Step 2: Convert to fraction form
    16,537.68/22,816.26 = 10,572.84/x
  3. Step 3: Cross multiply
    16,537.68x = 22,816.26 × 10,572.84
  4. Step 4: Simplify right side
    16,537.68x = 241,232,666.38
  5. Step 5: Solve for x
    x = 241,232,666.38/16,537.68
  6. Step 6: Final answer
    x = 14,586.85

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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.