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Finding the Fourth Proportional to 25,077.61, 37,543.49 and 19,514.09

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Solution

The fourth proportional to 25,077.61, 37,543.49 and 19,514.09 is: 29,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.61 : 37,543.49 = 19,514.09 : x
  2. Step 2: Convert to fraction form
    25,077.61/37,543.49 = 19,514.09/x
  3. Step 3: Cross multiply
    25,077.61x = 37,543.49 × 19,514.09
  4. Step 4: Simplify right side
    25,077.61x = 732,627,010.82
  5. Step 5: Solve for x
    x = 732,627,010.82/25,077.61
  6. Step 6: Final answer
    x = 29,214.39

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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.