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Finding the Fourth Proportional to 14,969.22, 22,458.69 and 7,177.02

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Solution

The fourth proportional to 14,969.22, 22,458.69 and 7,177.02 is: 10,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.22 : 22,458.69 = 7,177.02 : x
  2. Step 2: Convert to fraction form
    14,969.22/22,458.69 = 7,177.02/x
  3. Step 3: Cross multiply
    14,969.22x = 22,458.69 × 7,177.02
  4. Step 4: Simplify right side
    14,969.22x = 161,186,467.30
  5. Step 5: Solve for x
    x = 161,186,467.30/14,969.22
  6. Step 6: Final answer
    x = 10,767.86

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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.