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Finding the Fourth Proportional to 14,709.12, 22,020.48 and 9,500.16

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Solution

The fourth proportional to 14,709.12, 22,020.48 and 9,500.16 is: 14,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.12 : 22,020.48 = 9,500.16 : x
  2. Step 2: Convert to fraction form
    14,709.12/22,020.48 = 9,500.16/x
  3. Step 3: Cross multiply
    14,709.12x = 22,020.48 × 9,500.16
  4. Step 4: Simplify right side
    14,709.12x = 209,198,083.28
  5. Step 5: Solve for x
    x = 209,198,083.28/14,709.12
  6. Step 6: Final answer
    x = 14,222.34

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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.