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Finding the Fourth Proportional to 23,098.99, 31,871.10 and 14,024.14

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Solution

The fourth proportional to 23,098.99, 31,871.10 and 14,024.14 is: 19,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.99 : 31,871.10 = 14,024.14 : x
  2. Step 2: Convert to fraction form
    23,098.99/31,871.10 = 14,024.14/x
  3. Step 3: Cross multiply
    23,098.99x = 31,871.10 × 14,024.14
  4. Step 4: Simplify right side
    23,098.99x = 446,964,768.35
  5. Step 5: Solve for x
    x = 446,964,768.35/23,098.99
  6. Step 6: Final answer
    x = 19,349.97

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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.