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Finding the Fourth Proportional to 19,588, 29,382 and 5,737.12

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Solution

The fourth proportional to 19,588, 29,382 and 5,737.12 is: 8,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588 : 29,382 = 5,737.12 : x
  2. Step 2: Convert to fraction form
    19,588/29,382 = 5,737.12/x
  3. Step 3: Cross multiply
    19,588x = 29,382 × 5,737.12
  4. Step 4: Simplify right side
    19,588x = 168,568,059.84
  5. Step 5: Solve for x
    x = 168,568,059.84/19,588
  6. Step 6: Final answer
    x = 8,605.68

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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.