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Finding the Fourth Proportional to 17,643.75, 24,349.50 and 10,191.75

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Solution

The fourth proportional to 17,643.75, 24,349.50 and 10,191.75 is: 14,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.75 : 24,349.50 = 10,191.75 : x
  2. Step 2: Convert to fraction form
    17,643.75/24,349.50 = 10,191.75/x
  3. Step 3: Cross multiply
    17,643.75x = 24,349.50 × 10,191.75
  4. Step 4: Simplify right side
    17,643.75x = 248,164,016.63
  5. Step 5: Solve for x
    x = 248,164,016.63/17,643.75
  6. Step 6: Final answer
    x = 14,065.26

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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.