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Finding the Fourth Proportional to 23,684.16, 35,532 and 8,102.40

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Solution

The fourth proportional to 23,684.16, 35,532 and 8,102.40 is: 12,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.16 : 35,532 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    23,684.16/35,532 = 8,102.40/x
  3. Step 3: Cross multiply
    23,684.16x = 35,532 × 8,102.40
  4. Step 4: Simplify right side
    23,684.16x = 287,894,476.80
  5. Step 5: Solve for x
    x = 287,894,476.80/23,684.16
  6. Step 6: Final answer
    x = 12,155.57

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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.