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Finding the Fourth Proportional to 26,543.88, 39,819.48 and 9,009

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Solution

The fourth proportional to 26,543.88, 39,819.48 and 9,009 is: 13,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.88 : 39,819.48 = 9,009 : x
  2. Step 2: Convert to fraction form
    26,543.88/39,819.48 = 9,009/x
  3. Step 3: Cross multiply
    26,543.88x = 39,819.48 × 9,009
  4. Step 4: Simplify right side
    26,543.88x = 358,733,695.32
  5. Step 5: Solve for x
    x = 358,733,695.32/26,543.88
  6. Step 6: Final answer
    x = 13,514.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.