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Finding the Fourth Proportional to 19,378.74, 29,071.51 and 6,898.47

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Solution

The fourth proportional to 19,378.74, 29,071.51 and 6,898.47 is: 10,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.74 : 29,071.51 = 6,898.47 : x
  2. Step 2: Convert to fraction form
    19,378.74/29,071.51 = 6,898.47/x
  3. Step 3: Cross multiply
    19,378.74x = 29,071.51 × 6,898.47
  4. Step 4: Simplify right side
    19,378.74x = 200,548,813.33
  5. Step 5: Solve for x
    x = 200,548,813.33/19,378.74
  6. Step 6: Final answer
    x = 10,348.91

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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.