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Finding the Fourth Proportional to 12,102.89, 18,152.15 and 3,335.63

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Solution

The fourth proportional to 12,102.89, 18,152.15 and 3,335.63 is: 5,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.89 : 18,152.15 = 3,335.63 : x
  2. Step 2: Convert to fraction form
    12,102.89/18,152.15 = 3,335.63/x
  3. Step 3: Cross multiply
    12,102.89x = 18,152.15 × 3,335.63
  4. Step 4: Simplify right side
    12,102.89x = 60,548,748.67
  5. Step 5: Solve for x
    x = 60,548,748.67/12,102.89
  6. Step 6: Final answer
    x = 5,002.84

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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.