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Finding the Fourth Proportional to 22,894.85, 31,591.22 and 12,823.72

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Solution

The fourth proportional to 22,894.85, 31,591.22 and 12,823.72 is: 17,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.85 : 31,591.22 = 12,823.72 : x
  2. Step 2: Convert to fraction form
    22,894.85/31,591.22 = 12,823.72/x
  3. Step 3: Cross multiply
    22,894.85x = 31,591.22 × 12,823.72
  4. Step 4: Simplify right side
    22,894.85x = 405,116,816.64
  5. Step 5: Solve for x
    x = 405,116,816.64/22,894.85
  6. Step 6: Final answer
    x = 17,694.67

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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.