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Finding the Fourth Proportional to 12,184.76, 18,276.89 and 3,419.45

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Solution

The fourth proportional to 12,184.76, 18,276.89 and 3,419.45 is: 5,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.76 : 18,276.89 = 3,419.45 : x
  2. Step 2: Convert to fraction form
    12,184.76/18,276.89 = 3,419.45/x
  3. Step 3: Cross multiply
    12,184.76x = 18,276.89 × 3,419.45
  4. Step 4: Simplify right side
    12,184.76x = 62,496,803.03
  5. Step 5: Solve for x
    x = 62,496,803.03/12,184.76
  6. Step 6: Final answer
    x = 5,129.10

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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.