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Finding the Fourth Proportional to 23,733.95, 35,572.97 and 9,685.20

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Solution

The fourth proportional to 23,733.95, 35,572.97 and 9,685.20 is: 14,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733.95 : 35,572.97 = 9,685.20 : x
  2. Step 2: Convert to fraction form
    23,733.95/35,572.97 = 9,685.20/x
  3. Step 3: Cross multiply
    23,733.95x = 35,572.97 × 9,685.20
  4. Step 4: Simplify right side
    23,733.95x = 344,531,486.66
  5. Step 5: Solve for x
    x = 344,531,486.66/23,733.95
  6. Step 6: Final answer
    x = 14,516.40

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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.