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Finding the Fourth Proportional to 44,008.36, 66,015.42 and 12,841

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Solution

The fourth proportional to 44,008.36, 66,015.42 and 12,841 is: 19,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008.36 : 66,015.42 = 12,841 : x
  2. Step 2: Convert to fraction form
    44,008.36/66,015.42 = 12,841/x
  3. Step 3: Cross multiply
    44,008.36x = 66,015.42 × 12,841
  4. Step 4: Simplify right side
    44,008.36x = 847,704,008.22
  5. Step 5: Solve for x
    x = 847,704,008.22/44,008.36
  6. Step 6: Final answer
    x = 19,262.34

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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.