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Finding the Fourth Proportional to 14,896.40, 22,301.40 and 14,464.40

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Solution

The fourth proportional to 14,896.40, 22,301.40 and 14,464.40 is: 21,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.40 : 22,301.40 = 14,464.40 : x
  2. Step 2: Convert to fraction form
    14,896.40/22,301.40 = 14,464.40/x
  3. Step 3: Cross multiply
    14,896.40x = 22,301.40 × 14,464.40
  4. Step 4: Simplify right side
    14,896.40x = 322,576,370.16
  5. Step 5: Solve for x
    x = 322,576,370.16/14,896.40
  6. Step 6: Final answer
    x = 21,654.65

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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.