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Finding the Fourth Proportional to 14,969.30, 22,424.78 and 9,111.38

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Solution

The fourth proportional to 14,969.30, 22,424.78 and 9,111.38 is: 13,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.30 : 22,424.78 = 9,111.38 : x
  2. Step 2: Convert to fraction form
    14,969.30/22,424.78 = 9,111.38/x
  3. Step 3: Cross multiply
    14,969.30x = 22,424.78 × 9,111.38
  4. Step 4: Simplify right side
    14,969.30x = 204,320,692.00
  5. Step 5: Solve for x
    x = 204,320,692.00/14,969.30
  6. Step 6: Final answer
    x = 13,649.32

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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.