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Finding the Fourth Proportional to 24,840.21, 37,264.02 and 8,202

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Solution

The fourth proportional to 24,840.21, 37,264.02 and 8,202 is: 12,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.21 : 37,264.02 = 8,202 : x
  2. Step 2: Convert to fraction form
    24,840.21/37,264.02 = 8,202/x
  3. Step 3: Cross multiply
    24,840.21x = 37,264.02 × 8,202
  4. Step 4: Simplify right side
    24,840.21x = 305,639,492.04
  5. Step 5: Solve for x
    x = 305,639,492.04/24,840.21
  6. Step 6: Final answer
    x = 12,304.22

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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.