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Finding the Fourth Proportional to 19,539, 29,313.36 and 5,688

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Solution

The fourth proportional to 19,539, 29,313.36 and 5,688 is: 8,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 29,313.36 = 5,688 : x
  2. Step 2: Convert to fraction form
    19,539/29,313.36 = 5,688/x
  3. Step 3: Cross multiply
    19,539x = 29,313.36 × 5,688
  4. Step 4: Simplify right side
    19,539x = 166,734,391.68
  5. Step 5: Solve for x
    x = 166,734,391.68/19,539
  6. Step 6: Final answer
    x = 8,533.41

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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.