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Finding the Fourth Proportional to 22,047.84, 33,084 and 20,376

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Solution

The fourth proportional to 22,047.84, 33,084 and 20,376 is: 30,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.84 : 33,084 = 20,376 : x
  2. Step 2: Convert to fraction form
    22,047.84/33,084 = 20,376/x
  3. Step 3: Cross multiply
    22,047.84x = 33,084 × 20,376
  4. Step 4: Simplify right side
    22,047.84x = 674,119,584
  5. Step 5: Solve for x
    x = 674,119,584/22,047.84
  6. Step 6: Final answer
    x = 30,575.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.