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Finding the Fourth Proportional to 22,578, 31,150.44 and 14,626.32

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Solution

The fourth proportional to 22,578, 31,150.44 and 14,626.32 is: 20,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578 : 31,150.44 = 14,626.32 : x
  2. Step 2: Convert to fraction form
    22,578/31,150.44 = 14,626.32/x
  3. Step 3: Cross multiply
    22,578x = 31,150.44 × 14,626.32
  4. Step 4: Simplify right side
    22,578x = 455,616,303.58
  5. Step 5: Solve for x
    x = 455,616,303.58/22,578
  6. Step 6: Final answer
    x = 20,179.66

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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.