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Finding the Fourth Proportional to 23,978.16, 35,914.32 and 14,115.60

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Solution

The fourth proportional to 23,978.16, 35,914.32 and 14,115.60 is: 21,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.16 : 35,914.32 = 14,115.60 : x
  2. Step 2: Convert to fraction form
    23,978.16/35,914.32 = 14,115.60/x
  3. Step 3: Cross multiply
    23,978.16x = 35,914.32 × 14,115.60
  4. Step 4: Simplify right side
    23,978.16x = 506,952,175.39
  5. Step 5: Solve for x
    x = 506,952,175.39/23,978.16
  6. Step 6: Final answer
    x = 21,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.