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Finding the Fourth Proportional to 27,678.80, 38,184 and 16,345.28

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Solution

The fourth proportional to 27,678.80, 38,184 and 16,345.28 is: 22,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.80 : 38,184 = 16,345.28 : x
  2. Step 2: Convert to fraction form
    27,678.80/38,184 = 16,345.28/x
  3. Step 3: Cross multiply
    27,678.80x = 38,184 × 16,345.28
  4. Step 4: Simplify right side
    27,678.80x = 624,128,171.52
  5. Step 5: Solve for x
    x = 624,128,171.52/27,678.80
  6. Step 6: Final answer
    x = 22,548.96

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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.