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Finding the Fourth Proportional to 19,930.50, 27,508.95 and 11,551.86

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Solution

The fourth proportional to 19,930.50, 27,508.95 and 11,551.86 is: 15,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.50 : 27,508.95 = 11,551.86 : x
  2. Step 2: Convert to fraction form
    19,930.50/27,508.95 = 11,551.86/x
  3. Step 3: Cross multiply
    19,930.50x = 27,508.95 × 11,551.86
  4. Step 4: Simplify right side
    19,930.50x = 317,779,539.15
  5. Step 5: Solve for x
    x = 317,779,539.15/19,930.50
  6. Step 6: Final answer
    x = 15,944.38

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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.