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Finding the Fourth Proportional to 27,684.86, 38,203.92 and 16,358.00

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Solution

The fourth proportional to 27,684.86, 38,203.92 and 16,358.00 is: 22,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.86 : 38,203.92 = 16,358.00 : x
  2. Step 2: Convert to fraction form
    27,684.86/38,203.92 = 16,358.00/x
  3. Step 3: Cross multiply
    27,684.86x = 38,203.92 × 16,358.00
  4. Step 4: Simplify right side
    27,684.86x = 624,939,532.34
  5. Step 5: Solve for x
    x = 624,939,532.34/27,684.86
  6. Step 6: Final answer
    x = 22,573.34

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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.