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Finding the Fourth Proportional to 26,059.19, 35,961.98 and 14,122.62

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Solution

The fourth proportional to 26,059.19, 35,961.98 and 14,122.62 is: 19,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,059.19 : 35,961.98 = 14,122.62 : x
  2. Step 2: Convert to fraction form
    26,059.19/35,961.98 = 14,122.62/x
  3. Step 3: Cross multiply
    26,059.19x = 35,961.98 × 14,122.62
  4. Step 4: Simplify right side
    26,059.19x = 507,877,307.37
  5. Step 5: Solve for x
    x = 507,877,307.37/26,059.19
  6. Step 6: Final answer
    x = 19,489.38

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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.