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Finding the Fourth Proportional to 14,468.52, 21,706.42 and 6,682.84

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Solution

The fourth proportional to 14,468.52, 21,706.42 and 6,682.84 is: 10,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.52 : 21,706.42 = 6,682.84 : x
  2. Step 2: Convert to fraction form
    14,468.52/21,706.42 = 6,682.84/x
  3. Step 3: Cross multiply
    14,468.52x = 21,706.42 × 6,682.84
  4. Step 4: Simplify right side
    14,468.52x = 145,060,531.83
  5. Step 5: Solve for x
    x = 145,060,531.83/14,468.52
  6. Step 6: Final answer
    x = 10,025.94

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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.