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Finding the Fourth Proportional to 22,981.84, 31,727.04 and 15,467.68

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Solution

The fourth proportional to 22,981.84, 31,727.04 and 15,467.68 is: 21,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.84 : 31,727.04 = 15,467.68 : x
  2. Step 2: Convert to fraction form
    22,981.84/31,727.04 = 15,467.68/x
  3. Step 3: Cross multiply
    22,981.84x = 31,727.04 × 15,467.68
  4. Step 4: Simplify right side
    22,981.84x = 490,743,702.07
  5. Step 5: Solve for x
    x = 490,743,702.07/22,981.84
  6. Step 6: Final answer
    x = 21,353.54

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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.