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Finding the Fourth Proportional to 14,234.72, 21,341.10 and 5,349.86

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Solution

The fourth proportional to 14,234.72, 21,341.10 and 5,349.86 is: 8,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.72 : 21,341.10 = 5,349.86 : x
  2. Step 2: Convert to fraction form
    14,234.72/21,341.10 = 5,349.86/x
  3. Step 3: Cross multiply
    14,234.72x = 21,341.10 × 5,349.86
  4. Step 4: Simplify right side
    14,234.72x = 114,171,897.25
  5. Step 5: Solve for x
    x = 114,171,897.25/14,234.72
  6. Step 6: Final answer
    x = 8,020.66

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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.