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Finding the Fourth Proportional to 25,832, 35,651.04 and 14,657.60

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Solution

The fourth proportional to 25,832, 35,651.04 and 14,657.60 is: 20,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832 : 35,651.04 = 14,657.60 : x
  2. Step 2: Convert to fraction form
    25,832/35,651.04 = 14,657.60/x
  3. Step 3: Cross multiply
    25,832x = 35,651.04 × 14,657.60
  4. Step 4: Simplify right side
    25,832x = 522,558,683.90
  5. Step 5: Solve for x
    x = 522,558,683.90/25,832
  6. Step 6: Final answer
    x = 20,229.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.