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Finding the Fourth Proportional to 14,384.66, 21,570.50 and 8,464.37

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Solution

The fourth proportional to 14,384.66, 21,570.50 and 8,464.37 is: 12,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.66 : 21,570.50 = 8,464.37 : x
  2. Step 2: Convert to fraction form
    14,384.66/21,570.50 = 8,464.37/x
  3. Step 3: Cross multiply
    14,384.66x = 21,570.50 × 8,464.37
  4. Step 4: Simplify right side
    14,384.66x = 182,580,606.39
  5. Step 5: Solve for x
    x = 182,580,606.39/14,384.66
  6. Step 6: Final answer
    x = 12,692.73

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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.