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Finding the Fourth Proportional to 27,385.84, 37,793 and 16,064

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Solution

The fourth proportional to 27,385.84, 37,793 and 16,064 is: 22,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.84 : 37,793 = 16,064 : x
  2. Step 2: Convert to fraction form
    27,385.84/37,793 = 16,064/x
  3. Step 3: Cross multiply
    27,385.84x = 37,793 × 16,064
  4. Step 4: Simplify right side
    27,385.84x = 607,106,752
  5. Step 5: Solve for x
    x = 607,106,752/27,385.84
  6. Step 6: Final answer
    x = 22,168.64

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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.