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Finding the Fourth Proportional to 12,820.32, 19,229.12 and 3,459.76

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Solution

The fourth proportional to 12,820.32, 19,229.12 and 3,459.76 is: 5,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.32 : 19,229.12 = 3,459.76 : x
  2. Step 2: Convert to fraction form
    12,820.32/19,229.12 = 3,459.76/x
  3. Step 3: Cross multiply
    12,820.32x = 19,229.12 × 3,459.76
  4. Step 4: Simplify right side
    12,820.32x = 66,528,140.21
  5. Step 5: Solve for x
    x = 66,528,140.21/12,820.32
  6. Step 6: Final answer
    x = 5,189.27

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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.