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Finding the Fourth Proportional to 24,028.16, 36,017.16 and 8,228.53

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Solution

The fourth proportional to 24,028.16, 36,017.16 and 8,228.53 is: 12,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028.16 : 36,017.16 = 8,228.53 : x
  2. Step 2: Convert to fraction form
    24,028.16/36,017.16 = 8,228.53/x
  3. Step 3: Cross multiply
    24,028.16x = 36,017.16 × 8,228.53
  4. Step 4: Simplify right side
    24,028.16x = 296,368,295.74
  5. Step 5: Solve for x
    x = 296,368,295.74/24,028.16
  6. Step 6: Final answer
    x = 12,334.21

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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.