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Finding the Fourth Proportional to 19,876.57, 29,814.71 and 5,085.45

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Solution

The fourth proportional to 19,876.57, 29,814.71 and 5,085.45 is: 7,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.57 : 29,814.71 = 5,085.45 : x
  2. Step 2: Convert to fraction form
    19,876.57/29,814.71 = 5,085.45/x
  3. Step 3: Cross multiply
    19,876.57x = 29,814.71 × 5,085.45
  4. Step 4: Simplify right side
    19,876.57x = 151,621,191.54
  5. Step 5: Solve for x
    x = 151,621,191.54/19,876.57
  6. Step 6: Final answer
    x = 7,628.14

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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.