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Finding the Fourth Proportional to 14,770.71, 22,156.09 and 9,804.85

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Solution

The fourth proportional to 14,770.71, 22,156.09 and 9,804.85 is: 14,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.71 : 22,156.09 = 9,804.85 : x
  2. Step 2: Convert to fraction form
    14,770.71/22,156.09 = 9,804.85/x
  3. Step 3: Cross multiply
    14,770.71x = 22,156.09 × 9,804.85
  4. Step 4: Simplify right side
    14,770.71x = 217,237,059.13
  5. Step 5: Solve for x
    x = 217,237,059.13/14,770.71
  6. Step 6: Final answer
    x = 14,707.29

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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.