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Finding the Fourth Proportional to 20,182.61, 30,278.52 and 6,144.63

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Solution

The fourth proportional to 20,182.61, 30,278.52 and 6,144.63 is: 9,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.61 : 30,278.52 = 6,144.63 : x
  2. Step 2: Convert to fraction form
    20,182.61/30,278.52 = 6,144.63/x
  3. Step 3: Cross multiply
    20,182.61x = 30,278.52 × 6,144.63
  4. Step 4: Simplify right side
    20,182.61x = 186,050,302.35
  5. Step 5: Solve for x
    x = 186,050,302.35/20,182.61
  6. Step 6: Final answer
    x = 9,218.35

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