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Finding the Fourth Proportional to 43,343.18, 65,017.20 and 12,176

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Solution

The fourth proportional to 43,343.18, 65,017.20 and 12,176 is: 18,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,343.18 : 65,017.20 = 12,176 : x
  2. Step 2: Convert to fraction form
    43,343.18/65,017.20 = 12,176/x
  3. Step 3: Cross multiply
    43,343.18x = 65,017.20 × 12,176
  4. Step 4: Simplify right side
    43,343.18x = 791,649,427.20
  5. Step 5: Solve for x
    x = 791,649,427.20/43,343.18
  6. Step 6: Final answer
    x = 18,264.68

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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.