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Finding the Fourth Proportional to 23,498.16, 35,236.08 and 13,640.46

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Solution

The fourth proportional to 23,498.16, 35,236.08 and 13,640.46 is: 20,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.16 : 35,236.08 = 13,640.46 : x
  2. Step 2: Convert to fraction form
    23,498.16/35,236.08 = 13,640.46/x
  3. Step 3: Cross multiply
    23,498.16x = 35,236.08 × 13,640.46
  4. Step 4: Simplify right side
    23,498.16x = 480,636,339.80
  5. Step 5: Solve for x
    x = 480,636,339.80/23,498.16
  6. Step 6: Final answer
    x = 20,454.21

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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.