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Finding the Fourth Proportional to 24,802.16, 37,205.62 and 8,158.16

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Solution

The fourth proportional to 24,802.16, 37,205.62 and 8,158.16 is: 12,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.16 : 37,205.62 = 8,158.16 : x
  2. Step 2: Convert to fraction form
    24,802.16/37,205.62 = 8,158.16/x
  3. Step 3: Cross multiply
    24,802.16x = 37,205.62 × 8,158.16
  4. Step 4: Simplify right side
    24,802.16x = 303,529,473.48
  5. Step 5: Solve for x
    x = 303,529,473.48/24,802.16
  6. Step 6: Final answer
    x = 12,238.03

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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.