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Finding the Fourth Proportional to 19,696.41, 29,557.75 and 10,217.47

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Solution

The fourth proportional to 19,696.41, 29,557.75 and 10,217.47 is: 15,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.41 : 29,557.75 = 10,217.47 : x
  2. Step 2: Convert to fraction form
    19,696.41/29,557.75 = 10,217.47/x
  3. Step 3: Cross multiply
    19,696.41x = 29,557.75 × 10,217.47
  4. Step 4: Simplify right side
    19,696.41x = 302,005,423.89
  5. Step 5: Solve for x
    x = 302,005,423.89/19,696.41
  6. Step 6: Final answer
    x = 15,333.02

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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.