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Finding the Fourth Proportional to 23,212.32, 34,807.05 and 8,419.02

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Solution

The fourth proportional to 23,212.32, 34,807.05 and 8,419.02 is: 12,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.32 : 34,807.05 = 8,419.02 : x
  2. Step 2: Convert to fraction form
    23,212.32/34,807.05 = 8,419.02/x
  3. Step 3: Cross multiply
    23,212.32x = 34,807.05 × 8,419.02
  4. Step 4: Simplify right side
    23,212.32x = 293,041,250.09
  5. Step 5: Solve for x
    x = 293,041,250.09/23,212.32
  6. Step 6: Final answer
    x = 12,624.38

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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.