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Finding the Fourth Proportional to 26,580.64, 39,872.64 and 14,884.96

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Solution

The fourth proportional to 26,580.64, 39,872.64 and 14,884.96 is: 22,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580.64 : 39,872.64 = 14,884.96 : x
  2. Step 2: Convert to fraction form
    26,580.64/39,872.64 = 14,884.96/x
  3. Step 3: Cross multiply
    26,580.64x = 39,872.64 × 14,884.96
  4. Step 4: Simplify right side
    26,580.64x = 593,502,651.49
  5. Step 5: Solve for x
    x = 593,502,651.49/26,580.64
  6. Step 6: Final answer
    x = 22,328.38

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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.