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Finding the Fourth Proportional to 17,643.34, 24,348.27 and 9,685.99

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Solution

The fourth proportional to 17,643.34, 24,348.27 and 9,685.99 is: 13,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.34 : 24,348.27 = 9,685.99 : x
  2. Step 2: Convert to fraction form
    17,643.34/24,348.27 = 9,685.99/x
  3. Step 3: Cross multiply
    17,643.34x = 24,348.27 × 9,685.99
  4. Step 4: Simplify right side
    17,643.34x = 235,837,099.74
  5. Step 5: Solve for x
    x = 235,837,099.74/17,643.34
  6. Step 6: Final answer
    x = 13,366.92

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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.