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Finding the Fourth Proportional to 19,713.65, 29,574.72 and 5,673.58

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Solution

The fourth proportional to 19,713.65, 29,574.72 and 5,673.58 is: 8,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.65 : 29,574.72 = 5,673.58 : x
  2. Step 2: Convert to fraction form
    19,713.65/29,574.72 = 5,673.58/x
  3. Step 3: Cross multiply
    19,713.65x = 29,574.72 × 5,673.58
  4. Step 4: Simplify right side
    19,713.65x = 167,794,465.96
  5. Step 5: Solve for x
    x = 167,794,465.96/19,713.65
  6. Step 6: Final answer
    x = 8,511.59

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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.