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Finding the Fourth Proportional to 22,100.77, 30,493.77 and 13,026.50

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Solution

The fourth proportional to 22,100.77, 30,493.77 and 13,026.50 is: 17,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.77 : 30,493.77 = 13,026.50 : x
  2. Step 2: Convert to fraction form
    22,100.77/30,493.77 = 13,026.50/x
  3. Step 3: Cross multiply
    22,100.77x = 30,493.77 × 13,026.50
  4. Step 4: Simplify right side
    22,100.77x = 397,226,922.17
  5. Step 5: Solve for x
    x = 397,226,922.17/22,100.77
  6. Step 6: Final answer
    x = 17,973.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.