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Finding the Fourth Proportional to 14,772.09, 22,166.43 and 7,846.41

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Solution

The fourth proportional to 14,772.09, 22,166.43 and 7,846.41 is: 11,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.09 : 22,166.43 = 7,846.41 : x
  2. Step 2: Convert to fraction form
    14,772.09/22,166.43 = 7,846.41/x
  3. Step 3: Cross multiply
    14,772.09x = 22,166.43 × 7,846.41
  4. Step 4: Simplify right side
    14,772.09x = 173,926,898.02
  5. Step 5: Solve for x
    x = 173,926,898.02/14,772.09
  6. Step 6: Final answer
    x = 11,774.02

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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.