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Finding the Fourth Proportional to 27,469.76, 37,907.84 and 14,894.40

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Solution

The fourth proportional to 27,469.76, 37,907.84 and 14,894.40 is: 20,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.76 : 37,907.84 = 14,894.40 : x
  2. Step 2: Convert to fraction form
    27,469.76/37,907.84 = 14,894.40/x
  3. Step 3: Cross multiply
    27,469.76x = 37,907.84 × 14,894.40
  4. Step 4: Simplify right side
    27,469.76x = 564,614,532.10
  5. Step 5: Solve for x
    x = 564,614,532.10/27,469.76
  6. Step 6: Final answer
    x = 20,554.04

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1.5x scale

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.