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Finding the Fourth Proportional to 19,539.38, 29,313.92 and 5,688.38

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Solution

The fourth proportional to 19,539.38, 29,313.92 and 5,688.38 is: 8,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539.38 : 29,313.92 = 5,688.38 : x
  2. Step 2: Convert to fraction form
    19,539.38/29,313.92 = 5,688.38/x
  3. Step 3: Cross multiply
    19,539.38x = 29,313.92 × 5,688.38
  4. Step 4: Simplify right side
    19,539.38x = 166,748,716.25
  5. Step 5: Solve for x
    x = 166,748,716.25/19,539.38
  6. Step 6: Final answer
    x = 8,533.98

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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.