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Finding the Fourth Proportional to 14,298.21, 21,434.36 and 8,129.25

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Solution

The fourth proportional to 14,298.21, 21,434.36 and 8,129.25 is: 12,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.21 : 21,434.36 = 8,129.25 : x
  2. Step 2: Convert to fraction form
    14,298.21/21,434.36 = 8,129.25/x
  3. Step 3: Cross multiply
    14,298.21x = 21,434.36 × 8,129.25
  4. Step 4: Simplify right side
    14,298.21x = 174,245,230.38
  5. Step 5: Solve for x
    x = 174,245,230.38/14,298.21
  6. Step 6: Final answer
    x = 12,186.51

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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.