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Finding the Fourth Proportional to 19,715.13, 29,574.11 and 6,205.14

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Solution

The fourth proportional to 19,715.13, 29,574.11 and 6,205.14 is: 9,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.13 : 29,574.11 = 6,205.14 : x
  2. Step 2: Convert to fraction form
    19,715.13/29,574.11 = 6,205.14/x
  3. Step 3: Cross multiply
    19,715.13x = 29,574.11 × 6,205.14
  4. Step 4: Simplify right side
    19,715.13x = 183,511,508.44
  5. Step 5: Solve for x
    x = 183,511,508.44/19,715.13
  6. Step 6: Final answer
    x = 9,308.16

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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.