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Finding the Fourth Proportional to 19,460.50, 26,855.52 and 11,077

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Solution

The fourth proportional to 19,460.50, 26,855.52 and 11,077 is: 15,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460.50 : 26,855.52 = 11,077 : x
  2. Step 2: Convert to fraction form
    19,460.50/26,855.52 = 11,077/x
  3. Step 3: Cross multiply
    19,460.50x = 26,855.52 × 11,077
  4. Step 4: Simplify right side
    19,460.50x = 297,478,595.04
  5. Step 5: Solve for x
    x = 297,478,595.04/19,460.50
  6. Step 6: Final answer
    x = 15,286.28

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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.