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Finding the Fourth Proportional to 25,506.70, 38,222.70 and 22,874.20

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Solution

The fourth proportional to 25,506.70, 38,222.70 and 22,874.20 is: 34,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.70 : 38,222.70 = 22,874.20 : x
  2. Step 2: Convert to fraction form
    25,506.70/38,222.70 = 22,874.20/x
  3. Step 3: Cross multiply
    25,506.70x = 38,222.70 × 22,874.20
  4. Step 4: Simplify right side
    25,506.70x = 874,313,684.34
  5. Step 5: Solve for x
    x = 874,313,684.34/25,506.70
  6. Step 6: Final answer
    x = 34,277.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.