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Finding the Fourth Proportional to 14,164.08, 21,256.28 and 9,493

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Solution

The fourth proportional to 14,164.08, 21,256.28 and 9,493 is: 14,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.08 : 21,256.28 = 9,493 : x
  2. Step 2: Convert to fraction form
    14,164.08/21,256.28 = 9,493/x
  3. Step 3: Cross multiply
    14,164.08x = 21,256.28 × 9,493
  4. Step 4: Simplify right side
    14,164.08x = 201,785,866.04
  5. Step 5: Solve for x
    x = 201,785,866.04/14,164.08
  6. Step 6: Final answer
    x = 14,246.31

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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.