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Finding the Fourth Proportional to 18,059.25, 24,922.87 and 10,102.01

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Solution

The fourth proportional to 18,059.25, 24,922.87 and 10,102.01 is: 13,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,059.25 : 24,922.87 = 10,102.01 : x
  2. Step 2: Convert to fraction form
    18,059.25/24,922.87 = 10,102.01/x
  3. Step 3: Cross multiply
    18,059.25x = 24,922.87 × 10,102.01
  4. Step 4: Simplify right side
    18,059.25x = 251,771,081.97
  5. Step 5: Solve for x
    x = 251,771,081.97/18,059.25
  6. Step 6: Final answer
    x = 13,941.39

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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.