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Finding the Fourth Proportional to 19,574.86, 29,324.50 and 11,683.68

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Solution

The fourth proportional to 19,574.86, 29,324.50 and 11,683.68 is: 17,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.86 : 29,324.50 = 11,683.68 : x
  2. Step 2: Convert to fraction form
    19,574.86/29,324.50 = 11,683.68/x
  3. Step 3: Cross multiply
    19,574.86x = 29,324.50 × 11,683.68
  4. Step 4: Simplify right side
    19,574.86x = 342,618,074.16
  5. Step 5: Solve for x
    x = 342,618,074.16/19,574.86
  6. Step 6: Final answer
    x = 17,502.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.