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Finding the Fourth Proportional to 14,770.92, 22,104.34 and 9,226.88

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Solution

The fourth proportional to 14,770.92, 22,104.34 and 9,226.88 is: 13,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.92 : 22,104.34 = 9,226.88 : x
  2. Step 2: Convert to fraction form
    14,770.92/22,104.34 = 9,226.88/x
  3. Step 3: Cross multiply
    14,770.92x = 22,104.34 × 9,226.88
  4. Step 4: Simplify right side
    14,770.92x = 203,953,959.07
  5. Step 5: Solve for x
    x = 203,953,959.07/14,770.92
  6. Step 6: Final answer
    x = 13,807.80

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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.