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Finding the Fourth Proportional to 22,006.57, 30,368.86 and 12,448.32

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Solution

The fourth proportional to 22,006.57, 30,368.86 and 12,448.32 is: 17,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.57 : 30,368.86 = 12,448.32 : x
  2. Step 2: Convert to fraction form
    22,006.57/30,368.86 = 12,448.32/x
  3. Step 3: Cross multiply
    22,006.57x = 30,368.86 × 12,448.32
  4. Step 4: Simplify right side
    22,006.57x = 378,041,287.32
  5. Step 5: Solve for x
    x = 378,041,287.32/22,006.57
  6. Step 6: Final answer
    x = 17,178.56

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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.