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Finding the Fourth Proportional to 17,196.68, 23,732.74 and 9,643.70

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Solution

The fourth proportional to 17,196.68, 23,732.74 and 9,643.70 is: 13,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.68 : 23,732.74 = 9,643.70 : x
  2. Step 2: Convert to fraction form
    17,196.68/23,732.74 = 9,643.70/x
  3. Step 3: Cross multiply
    17,196.68x = 23,732.74 × 9,643.70
  4. Step 4: Simplify right side
    17,196.68x = 228,871,424.74
  5. Step 5: Solve for x
    x = 228,871,424.74/17,196.68
  6. Step 6: Final answer
    x = 13,309.05

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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.