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Finding the Fourth Proportional to 14,071.29, 21,099.14 and 5,757.14

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Solution

The fourth proportional to 14,071.29, 21,099.14 and 5,757.14 is: 8,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.29 : 21,099.14 = 5,757.14 : x
  2. Step 2: Convert to fraction form
    14,071.29/21,099.14 = 5,757.14/x
  3. Step 3: Cross multiply
    14,071.29x = 21,099.14 × 5,757.14
  4. Step 4: Simplify right side
    14,071.29x = 121,470,702.86
  5. Step 5: Solve for x
    x = 121,470,702.86/14,071.29
  6. Step 6: Final answer
    x = 8,632.52

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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.