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Finding the Fourth Proportional to 20,152.84, 27,784.20 and 16,554.28

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Solution

The fourth proportional to 20,152.84, 27,784.20 and 16,554.28 is: 22,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.84 : 27,784.20 = 16,554.28 : x
  2. Step 2: Convert to fraction form
    20,152.84/27,784.20 = 16,554.28/x
  3. Step 3: Cross multiply
    20,152.84x = 27,784.20 × 16,554.28
  4. Step 4: Simplify right side
    20,152.84x = 459,947,426.38
  5. Step 5: Solve for x
    x = 459,947,426.38/20,152.84
  6. Step 6: Final answer
    x = 22,822.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.