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Finding the Fourth Proportional to 18,137.85, 25,030.10 and 10,180.05

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Solution

The fourth proportional to 18,137.85, 25,030.10 and 10,180.05 is: 14,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.85 : 25,030.10 = 10,180.05 : x
  2. Step 2: Convert to fraction form
    18,137.85/25,030.10 = 10,180.05/x
  3. Step 3: Cross multiply
    18,137.85x = 25,030.10 × 10,180.05
  4. Step 4: Simplify right side
    18,137.85x = 254,807,618.60
  5. Step 5: Solve for x
    x = 254,807,618.60/18,137.85
  6. Step 6: Final answer
    x = 14,048.39

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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.