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Finding the Fourth Proportional to 20,027.60, 27,638.68 and 10,953.50

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Solution

The fourth proportional to 20,027.60, 27,638.68 and 10,953.50 is: 15,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.60 : 27,638.68 = 10,953.50 : x
  2. Step 2: Convert to fraction form
    20,027.60/27,638.68 = 10,953.50/x
  3. Step 3: Cross multiply
    20,027.60x = 27,638.68 × 10,953.50
  4. Step 4: Simplify right side
    20,027.60x = 302,740,281.38
  5. Step 5: Solve for x
    x = 302,740,281.38/20,027.60
  6. Step 6: Final answer
    x = 15,116.15

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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.