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Finding the Fourth Proportional to 19,876.68, 29,814.90 and 5,085.58

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Solution

The fourth proportional to 19,876.68, 29,814.90 and 5,085.58 is: 7,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.68 : 29,814.90 = 5,085.58 : x
  2. Step 2: Convert to fraction form
    19,876.68/29,814.90 = 5,085.58/x
  3. Step 3: Cross multiply
    19,876.68x = 29,814.90 × 5,085.58
  4. Step 4: Simplify right side
    19,876.68x = 151,626,059.14
  5. Step 5: Solve for x
    x = 151,626,059.14/19,876.68
  6. Step 6: Final answer
    x = 7,628.34

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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.