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Finding the Fourth Proportional to 14,642.16, 21,963.05 and 3,548.94

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Solution

The fourth proportional to 14,642.16, 21,963.05 and 3,548.94 is: 5,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.16 : 21,963.05 = 3,548.94 : x
  2. Step 2: Convert to fraction form
    14,642.16/21,963.05 = 3,548.94/x
  3. Step 3: Cross multiply
    14,642.16x = 21,963.05 × 3,548.94
  4. Step 4: Simplify right side
    14,642.16x = 77,945,624.59
  5. Step 5: Solve for x
    x = 77,945,624.59/14,642.16
  6. Step 6: Final answer
    x = 5,323.37

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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.