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Finding the Fourth Proportional to 27,684, 38,204.46 and 16,506

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Solution

The fourth proportional to 27,684, 38,204.46 and 16,506 is: 22,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 38,204.46 = 16,506 : x
  2. Step 2: Convert to fraction form
    27,684/38,204.46 = 16,506/x
  3. Step 3: Cross multiply
    27,684x = 38,204.46 × 16,506
  4. Step 4: Simplify right side
    27,684x = 630,602,816.76
  5. Step 5: Solve for x
    x = 630,602,816.76/27,684
  6. Step 6: Final answer
    x = 22,778.60

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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.