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Finding the Fourth Proportional to 18,137.92, 25,030.08 and 10,180

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Solution

The fourth proportional to 18,137.92, 25,030.08 and 10,180 is: 14,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.92 : 25,030.08 = 10,180 : x
  2. Step 2: Convert to fraction form
    18,137.92/25,030.08 = 10,180/x
  3. Step 3: Cross multiply
    18,137.92x = 25,030.08 × 10,180
  4. Step 4: Simplify right side
    18,137.92x = 254,806,214.40
  5. Step 5: Solve for x
    x = 254,806,214.40/18,137.92
  6. Step 6: Final answer
    x = 14,048.26

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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.