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Finding the Fourth Proportional to 14,509.36, 21,697.52 and 10,814.16

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Solution

The fourth proportional to 14,509.36, 21,697.52 and 10,814.16 is: 16,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.36 : 21,697.52 = 10,814.16 : x
  2. Step 2: Convert to fraction form
    14,509.36/21,697.52 = 10,814.16/x
  3. Step 3: Cross multiply
    14,509.36x = 21,697.52 × 10,814.16
  4. Step 4: Simplify right side
    14,509.36x = 234,640,452.88
  5. Step 5: Solve for x
    x = 234,640,452.88/14,509.36
  6. Step 6: Final answer
    x = 16,171.66

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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.