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Finding the Fourth Proportional to 13,898.34, 20,853.45 and 9,219.99

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Solution

The fourth proportional to 13,898.34, 20,853.45 and 9,219.99 is: 13,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.34 : 20,853.45 = 9,219.99 : x
  2. Step 2: Convert to fraction form
    13,898.34/20,853.45 = 9,219.99/x
  3. Step 3: Cross multiply
    13,898.34x = 20,853.45 × 9,219.99
  4. Step 4: Simplify right side
    13,898.34x = 192,268,600.47
  5. Step 5: Solve for x
    x = 192,268,600.47/13,898.34
  6. Step 6: Final answer
    x = 13,833.93

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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.