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Finding the Fourth Proportional to 18,634.60, 27,945.96 and 6,152.30

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Solution

The fourth proportional to 18,634.60, 27,945.96 and 6,152.30 is: 9,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.60 : 27,945.96 = 6,152.30 : x
  2. Step 2: Convert to fraction form
    18,634.60/27,945.96 = 6,152.30/x
  3. Step 3: Cross multiply
    18,634.60x = 27,945.96 × 6,152.30
  4. Step 4: Simplify right side
    18,634.60x = 171,931,929.71
  5. Step 5: Solve for x
    x = 171,931,929.71/18,634.60
  6. Step 6: Final answer
    x = 9,226.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.