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Finding the Fourth Proportional to 18,042, 24,898.44 and 10,085.58

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Solution

The fourth proportional to 18,042, 24,898.44 and 10,085.58 is: 13,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042 : 24,898.44 = 10,085.58 : x
  2. Step 2: Convert to fraction form
    18,042/24,898.44 = 10,085.58/x
  3. Step 3: Cross multiply
    18,042x = 24,898.44 × 10,085.58
  4. Step 4: Simplify right side
    18,042x = 251,115,208.50
  5. Step 5: Solve for x
    x = 251,115,208.50/18,042
  6. Step 6: Final answer
    x = 13,918.37

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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.