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Finding the Fourth Proportional to 14,846.94, 22,218.84 and 9,222.30

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Solution

The fourth proportional to 14,846.94, 22,218.84 and 9,222.30 is: 13,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.94 : 22,218.84 = 9,222.30 : x
  2. Step 2: Convert to fraction form
    14,846.94/22,218.84 = 9,222.30/x
  3. Step 3: Cross multiply
    14,846.94x = 22,218.84 × 9,222.30
  4. Step 4: Simplify right side
    14,846.94x = 204,908,808.13
  5. Step 5: Solve for x
    x = 204,908,808.13/14,846.94
  6. Step 6: Final answer
    x = 13,801.42

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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.