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Finding the Fourth Proportional to 17,643.25, 24,348.81 and 10,191.25

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Solution

The fourth proportional to 17,643.25, 24,348.81 and 10,191.25 is: 14,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.25 : 24,348.81 = 10,191.25 : x
  2. Step 2: Convert to fraction form
    17,643.25/24,348.81 = 10,191.25/x
  3. Step 3: Cross multiply
    17,643.25x = 24,348.81 × 10,191.25
  4. Step 4: Simplify right side
    17,643.25x = 248,144,809.91
  5. Step 5: Solve for x
    x = 248,144,809.91/17,643.25
  6. Step 6: Final answer
    x = 14,064.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.