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Finding the Fourth Proportional to 25,845.63, 35,666.97 and 14,516.22

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Solution

The fourth proportional to 25,845.63, 35,666.97 and 14,516.22 is: 20,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.63 : 35,666.97 = 14,516.22 : x
  2. Step 2: Convert to fraction form
    25,845.63/35,666.97 = 14,516.22/x
  3. Step 3: Cross multiply
    25,845.63x = 35,666.97 × 14,516.22
  4. Step 4: Simplify right side
    25,845.63x = 517,749,583.25
  5. Step 5: Solve for x
    x = 517,749,583.25/25,845.63
  6. Step 6: Final answer
    x = 20,032.38

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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.