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Finding the Fourth Proportional to 23,214.81, 34,800.72 and 8,419.77

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Solution

The fourth proportional to 23,214.81, 34,800.72 and 8,419.77 is: 12,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.81 : 34,800.72 = 8,419.77 : x
  2. Step 2: Convert to fraction form
    23,214.81/34,800.72 = 8,419.77/x
  3. Step 3: Cross multiply
    23,214.81x = 34,800.72 × 8,419.77
  4. Step 4: Simplify right side
    23,214.81x = 293,014,058.23
  5. Step 5: Solve for x
    x = 293,014,058.23/23,214.81
  6. Step 6: Final answer
    x = 12,621.86

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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.