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Finding the Fourth Proportional to 12,655.66, 18,981.33 and 3,419.50

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Solution

The fourth proportional to 12,655.66, 18,981.33 and 3,419.50 is: 5,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.66 : 18,981.33 = 3,419.50 : x
  2. Step 2: Convert to fraction form
    12,655.66/18,981.33 = 3,419.50/x
  3. Step 3: Cross multiply
    12,655.66x = 18,981.33 × 3,419.50
  4. Step 4: Simplify right side
    12,655.66x = 64,906,657.94
  5. Step 5: Solve for x
    x = 64,906,657.94/12,655.66
  6. Step 6: Final answer
    x = 5,128.67

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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.