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Finding the Fourth Proportional to 27,846.50, 38,429.70 and 16,522.70

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Solution

The fourth proportional to 27,846.50, 38,429.70 and 16,522.70 is: 22,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.50 : 38,429.70 = 16,522.70 : x
  2. Step 2: Convert to fraction form
    27,846.50/38,429.70 = 16,522.70/x
  3. Step 3: Cross multiply
    27,846.50x = 38,429.70 × 16,522.70
  4. Step 4: Simplify right side
    27,846.50x = 634,962,404.19
  5. Step 5: Solve for x
    x = 634,962,404.19/27,846.50
  6. Step 6: Final answer
    x = 22,802.23

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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.