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Finding the Fourth Proportional to 27,606.40, 38,102.88 and 18,176

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Solution

The fourth proportional to 27,606.40, 38,102.88 and 18,176 is: 25,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.40 : 38,102.88 = 18,176 : x
  2. Step 2: Convert to fraction form
    27,606.40/38,102.88 = 18,176/x
  3. Step 3: Cross multiply
    27,606.40x = 38,102.88 × 18,176
  4. Step 4: Simplify right side
    27,606.40x = 692,557,946.88
  5. Step 5: Solve for x
    x = 692,557,946.88/27,606.40
  6. Step 6: Final answer
    x = 25,086.86

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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.