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Finding the Fourth Proportional to 14,661.23, 21,978.77 and 5,299.16

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Solution

The fourth proportional to 14,661.23, 21,978.77 and 5,299.16 is: 7,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.23 : 21,978.77 = 5,299.16 : x
  2. Step 2: Convert to fraction form
    14,661.23/21,978.77 = 5,299.16/x
  3. Step 3: Cross multiply
    14,661.23x = 21,978.77 × 5,299.16
  4. Step 4: Simplify right side
    14,661.23x = 116,468,882.44
  5. Step 5: Solve for x
    x = 116,468,882.44/14,661.23
  6. Step 6: Final answer
    x = 7,944.01

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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.