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Finding the Fourth Proportional to 13,490.18, 20,237.99 and 5,698.98

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Solution

The fourth proportional to 13,490.18, 20,237.99 and 5,698.98 is: 8,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.18 : 20,237.99 = 5,698.98 : x
  2. Step 2: Convert to fraction form
    13,490.18/20,237.99 = 5,698.98/x
  3. Step 3: Cross multiply
    13,490.18x = 20,237.99 × 5,698.98
  4. Step 4: Simplify right side
    13,490.18x = 115,335,900.25
  5. Step 5: Solve for x
    x = 115,335,900.25/13,490.18
  6. Step 6: Final answer
    x = 8,549.62

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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.