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Finding the Fourth Proportional to 26,602.54, 39,909.66 and 7,884.05

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Solution

The fourth proportional to 26,602.54, 39,909.66 and 7,884.05 is: 11,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.54 : 39,909.66 = 7,884.05 : x
  2. Step 2: Convert to fraction form
    26,602.54/39,909.66 = 7,884.05/x
  3. Step 3: Cross multiply
    26,602.54x = 39,909.66 × 7,884.05
  4. Step 4: Simplify right side
    26,602.54x = 314,649,593.02
  5. Step 5: Solve for x
    x = 314,649,593.02/26,602.54
  6. Step 6: Final answer
    x = 11,827.80

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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.