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Finding the Fourth Proportional to 26,033.41, 35,924.65 and 14,705.22

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Solution

The fourth proportional to 26,033.41, 35,924.65 and 14,705.22 is: 20,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,033.41 : 35,924.65 = 14,705.22 : x
  2. Step 2: Convert to fraction form
    26,033.41/35,924.65 = 14,705.22/x
  3. Step 3: Cross multiply
    26,033.41x = 35,924.65 × 14,705.22
  4. Step 4: Simplify right side
    26,033.41x = 528,279,881.67
  5. Step 5: Solve for x
    x = 528,279,881.67/26,033.41
  6. Step 6: Final answer
    x = 20,292.38

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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.