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Finding the Fourth Proportional to 19,696.10, 29,519.51 and 9,838.13

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Solution

The fourth proportional to 19,696.10, 29,519.51 and 9,838.13 is: 14,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.10 : 29,519.51 = 9,838.13 : x
  2. Step 2: Convert to fraction form
    19,696.10/29,519.51 = 9,838.13/x
  3. Step 3: Cross multiply
    19,696.10x = 29,519.51 × 9,838.13
  4. Step 4: Simplify right side
    19,696.10x = 290,416,776.92
  5. Step 5: Solve for x
    x = 290,416,776.92/19,696.10
  6. Step 6: Final answer
    x = 14,744.89

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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.