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Finding the Fourth Proportional to 26,322.56, 36,308.16 and 15,704

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Solution

The fourth proportional to 26,322.56, 36,308.16 and 15,704 is: 21,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322.56 : 36,308.16 = 15,704 : x
  2. Step 2: Convert to fraction form
    26,322.56/36,308.16 = 15,704/x
  3. Step 3: Cross multiply
    26,322.56x = 36,308.16 × 15,704
  4. Step 4: Simplify right side
    26,322.56x = 570,183,344.64
  5. Step 5: Solve for x
    x = 570,183,344.64/26,322.56
  6. Step 6: Final answer
    x = 21,661.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.