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Finding the Fourth Proportional to 26,561.40, 36,654.90 and 14,624.16

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Solution

The fourth proportional to 26,561.40, 36,654.90 and 14,624.16 is: 20,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561.40 : 36,654.90 = 14,624.16 : x
  2. Step 2: Convert to fraction form
    26,561.40/36,654.90 = 14,624.16/x
  3. Step 3: Cross multiply
    26,561.40x = 36,654.90 × 14,624.16
  4. Step 4: Simplify right side
    26,561.40x = 536,047,122.38
  5. Step 5: Solve for x
    x = 536,047,122.38/26,561.40
  6. Step 6: Final answer
    x = 20,181.43

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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.