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Finding the Fourth Proportional to 14,096.99, 19,431.18 and 9,558.20

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Solution

The fourth proportional to 14,096.99, 19,431.18 and 9,558.20 is: 13,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.99 : 19,431.18 = 9,558.20 : x
  2. Step 2: Convert to fraction form
    14,096.99/19,431.18 = 9,558.20/x
  3. Step 3: Cross multiply
    14,096.99x = 19,431.18 × 9,558.20
  4. Step 4: Simplify right side
    14,096.99x = 185,727,153.25
  5. Step 5: Solve for x
    x = 185,727,153.25/14,096.99
  6. Step 6: Final answer
    x = 13,174.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.