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Finding the Fourth Proportional to 22,298.01, 30,771 and 12,866.37

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Solution

The fourth proportional to 22,298.01, 30,771 and 12,866.37 is: 17,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.01 : 30,771 = 12,866.37 : x
  2. Step 2: Convert to fraction form
    22,298.01/30,771 = 12,866.37/x
  3. Step 3: Cross multiply
    22,298.01x = 30,771 × 12,866.37
  4. Step 4: Simplify right side
    22,298.01x = 395,911,071.27
  5. Step 5: Solve for x
    x = 395,911,071.27/22,298.01
  6. Step 6: Final answer
    x = 17,755.44

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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.