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Finding the Fourth Proportional to 22,597.36, 33,914.22 and 12,746.14

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Solution

The fourth proportional to 22,597.36, 33,914.22 and 12,746.14 is: 19,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.36 : 33,914.22 = 12,746.14 : x
  2. Step 2: Convert to fraction form
    22,597.36/33,914.22 = 12,746.14/x
  3. Step 3: Cross multiply
    22,597.36x = 33,914.22 × 12,746.14
  4. Step 4: Simplify right side
    22,597.36x = 432,275,396.11
  5. Step 5: Solve for x
    x = 432,275,396.11/22,597.36
  6. Step 6: Final answer
    x = 19,129.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.