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Finding the Fourth Proportional to 22,878, 31,550.04 and 14,926.32

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Solution

The fourth proportional to 22,878, 31,550.04 and 14,926.32 is: 20,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878 : 31,550.04 = 14,926.32 : x
  2. Step 2: Convert to fraction form
    22,878/31,550.04 = 14,926.32/x
  3. Step 3: Cross multiply
    22,878x = 31,550.04 × 14,926.32
  4. Step 4: Simplify right side
    22,878x = 470,925,993.05
  5. Step 5: Solve for x
    x = 470,925,993.05/22,878
  6. Step 6: Final answer
    x = 20,584.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.