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Finding the Fourth Proportional to 22,518, 31,074.84 and 12,583.92

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Solution

The fourth proportional to 22,518, 31,074.84 and 12,583.92 is: 17,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 31,074.84 = 12,583.92 : x
  2. Step 2: Convert to fraction form
    22,518/31,074.84 = 12,583.92/x
  3. Step 3: Cross multiply
    22,518x = 31,074.84 × 12,583.92
  4. Step 4: Simplify right side
    22,518x = 391,043,300.57
  5. Step 5: Solve for x
    x = 391,043,300.57/22,518
  6. Step 6: Final answer
    x = 17,365.81

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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.