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Finding the Fourth Proportional to 22,924.84, 31,636.26 and 12,853.36

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Solution

The fourth proportional to 22,924.84, 31,636.26 and 12,853.36 is: 17,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.84 : 31,636.26 = 12,853.36 : x
  2. Step 2: Convert to fraction form
    22,924.84/31,636.26 = 12,853.36/x
  3. Step 3: Cross multiply
    22,924.84x = 31,636.26 × 12,853.36
  4. Step 4: Simplify right side
    22,924.84x = 406,632,238.83
  5. Step 5: Solve for x
    x = 406,632,238.83/22,924.84
  6. Step 6: Final answer
    x = 17,737.63

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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.