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Finding the Fourth Proportional to 14,544.16, 21,814.08 and 5,308

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Solution

The fourth proportional to 14,544.16, 21,814.08 and 5,308 is: 7,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.16 : 21,814.08 = 5,308 : x
  2. Step 2: Convert to fraction form
    14,544.16/21,814.08 = 5,308/x
  3. Step 3: Cross multiply
    14,544.16x = 21,814.08 × 5,308
  4. Step 4: Simplify right side
    14,544.16x = 115,789,136.64
  5. Step 5: Solve for x
    x = 115,789,136.64/14,544.16
  6. Step 6: Final answer
    x = 7,961.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.