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Finding the Fourth Proportional to 24,838.21, 37,261.02 and 8,200

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Solution

The fourth proportional to 24,838.21, 37,261.02 and 8,200 is: 12,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.21 : 37,261.02 = 8,200 : x
  2. Step 2: Convert to fraction form
    24,838.21/37,261.02 = 8,200/x
  3. Step 3: Cross multiply
    24,838.21x = 37,261.02 × 8,200
  4. Step 4: Simplify right side
    24,838.21x = 305,540,364
  5. Step 5: Solve for x
    x = 305,540,364/24,838.21
  6. Step 6: Final answer
    x = 12,301.22

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