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Finding the Fourth Proportional to 19,876.53, 29,814.50 and 5,085.33

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Solution

The fourth proportional to 19,876.53, 29,814.50 and 5,085.33 is: 7,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.53 : 29,814.50 = 5,085.33 : x
  2. Step 2: Convert to fraction form
    19,876.53/29,814.50 = 5,085.33/x
  3. Step 3: Cross multiply
    19,876.53x = 29,814.50 × 5,085.33
  4. Step 4: Simplify right side
    19,876.53x = 151,616,545.86
  5. Step 5: Solve for x
    x = 151,616,545.86/19,876.53
  6. Step 6: Final answer
    x = 7,627.92

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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.