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Finding the Fourth Proportional to 14,147.93, 21,224.13 and 4,657.28

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Solution

The fourth proportional to 14,147.93, 21,224.13 and 4,657.28 is: 6,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.93 : 21,224.13 = 4,657.28 : x
  2. Step 2: Convert to fraction form
    14,147.93/21,224.13 = 4,657.28/x
  3. Step 3: Cross multiply
    14,147.93x = 21,224.13 × 4,657.28
  4. Step 4: Simplify right side
    14,147.93x = 98,846,716.17
  5. Step 5: Solve for x
    x = 98,846,716.17/14,147.93
  6. Step 6: Final answer
    x = 6,986.66

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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.