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Finding the Fourth Proportional to 14,246.42, 19,658.97 and 7,871.99

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Solution

The fourth proportional to 14,246.42, 19,658.97 and 7,871.99 is: 10,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.42 : 19,658.97 = 7,871.99 : x
  2. Step 2: Convert to fraction form
    14,246.42/19,658.97 = 7,871.99/x
  3. Step 3: Cross multiply
    14,246.42x = 19,658.97 × 7,871.99
  4. Step 4: Simplify right side
    14,246.42x = 154,755,116.96
  5. Step 5: Solve for x
    x = 154,755,116.96/14,246.42
  6. Step 6: Final answer
    x = 10,862.74

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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.