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Finding the Fourth Proportional to 26,662.48, 36,782.04 and 15,478

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Solution

The fourth proportional to 26,662.48, 36,782.04 and 15,478 is: 21,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,662.48 : 36,782.04 = 15,478 : x
  2. Step 2: Convert to fraction form
    26,662.48/36,782.04 = 15,478/x
  3. Step 3: Cross multiply
    26,662.48x = 36,782.04 × 15,478
  4. Step 4: Simplify right side
    26,662.48x = 569,312,415.12
  5. Step 5: Solve for x
    x = 569,312,415.12/26,662.48
  6. Step 6: Final answer
    x = 21,352.57

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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.