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Finding the Fourth Proportional to 14,489.46, 21,743.91 and 5,129.50

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Solution

The fourth proportional to 14,489.46, 21,743.91 and 5,129.50 is: 7,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.46 : 21,743.91 = 5,129.50 : x
  2. Step 2: Convert to fraction form
    14,489.46/21,743.91 = 5,129.50/x
  3. Step 3: Cross multiply
    14,489.46x = 21,743.91 × 5,129.50
  4. Step 4: Simplify right side
    14,489.46x = 111,535,386.35
  5. Step 5: Solve for x
    x = 111,535,386.35/14,489.46
  6. Step 6: Final answer
    x = 7,697.69

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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.