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Finding the Fourth Proportional to 14,896.74, 22,353.30 and 9,057.45

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Solution

The fourth proportional to 14,896.74, 22,353.30 and 9,057.45 is: 13,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.74 : 22,353.30 = 9,057.45 : x
  2. Step 2: Convert to fraction form
    14,896.74/22,353.30 = 9,057.45/x
  3. Step 3: Cross multiply
    14,896.74x = 22,353.30 × 9,057.45
  4. Step 4: Simplify right side
    14,896.74x = 202,463,830.52
  5. Step 5: Solve for x
    x = 202,463,830.52/14,896.74
  6. Step 6: Final answer
    x = 13,591.15

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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.