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Finding the Fourth Proportional to 22,030.82, 30,403.05 and 13,078.36

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Solution

The fourth proportional to 22,030.82, 30,403.05 and 13,078.36 is: 18,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.82 : 30,403.05 = 13,078.36 : x
  2. Step 2: Convert to fraction form
    22,030.82/30,403.05 = 13,078.36/x
  3. Step 3: Cross multiply
    22,030.82x = 30,403.05 × 13,078.36
  4. Step 4: Simplify right side
    22,030.82x = 397,621,956.99
  5. Step 5: Solve for x
    x = 397,621,956.99/22,030.82
  6. Step 6: Final answer
    x = 18,048.44

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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.