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Finding the Fourth Proportional to 26,049.90, 35,946.72 and 14,720.38

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Solution

The fourth proportional to 26,049.90, 35,946.72 and 14,720.38 is: 20,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,049.90 : 35,946.72 = 14,720.38 : x
  2. Step 2: Convert to fraction form
    26,049.90/35,946.72 = 14,720.38/x
  3. Step 3: Cross multiply
    26,049.90x = 35,946.72 × 14,720.38
  4. Step 4: Simplify right side
    26,049.90x = 529,149,378.15
  5. Step 5: Solve for x
    x = 529,149,378.15/26,049.90
  6. Step 6: Final answer
    x = 20,312.91

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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.