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Finding the Fourth Proportional to 14,229.34, 21,345.16 and 3,840.94

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Solution

The fourth proportional to 14,229.34, 21,345.16 and 3,840.94 is: 5,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.34 : 21,345.16 = 3,840.94 : x
  2. Step 2: Convert to fraction form
    14,229.34/21,345.16 = 3,840.94/x
  3. Step 3: Cross multiply
    14,229.34x = 21,345.16 × 3,840.94
  4. Step 4: Simplify right side
    14,229.34x = 81,985,478.85
  5. Step 5: Solve for x
    x = 81,985,478.85/14,229.34
  6. Step 6: Final answer
    x = 5,761.72

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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.