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Finding the Fourth Proportional to 25,792.02, 38,693.50 and 8,022.24

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Solution

The fourth proportional to 25,792.02, 38,693.50 and 8,022.24 is: 12,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.02 : 38,693.50 = 8,022.24 : x
  2. Step 2: Convert to fraction form
    25,792.02/38,693.50 = 8,022.24/x
  3. Step 3: Cross multiply
    25,792.02x = 38,693.50 × 8,022.24
  4. Step 4: Simplify right side
    25,792.02x = 310,408,543.44
  5. Step 5: Solve for x
    x = 310,408,543.44/25,792.02
  6. Step 6: Final answer
    x = 12,035.06

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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.