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Finding the Fourth Proportional to 22,544.73, 31,124.25 and 13,594.50

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Solution

The fourth proportional to 22,544.73, 31,124.25 and 13,594.50 is: 18,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.73 : 31,124.25 = 13,594.50 : x
  2. Step 2: Convert to fraction form
    22,544.73/31,124.25 = 13,594.50/x
  3. Step 3: Cross multiply
    22,544.73x = 31,124.25 × 13,594.50
  4. Step 4: Simplify right side
    22,544.73x = 423,118,616.63
  5. Step 5: Solve for x
    x = 423,118,616.63/22,544.73
  6. Step 6: Final answer
    x = 18,767.96

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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.