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Finding the Fourth Proportional to 15,266.84, 22,903.52 and 4,736.63

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Solution

The fourth proportional to 15,266.84, 22,903.52 and 4,736.63 is: 7,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.84 : 22,903.52 = 4,736.63 : x
  2. Step 2: Convert to fraction form
    15,266.84/22,903.52 = 4,736.63/x
  3. Step 3: Cross multiply
    15,266.84x = 22,903.52 × 4,736.63
  4. Step 4: Simplify right side
    15,266.84x = 108,485,361.74
  5. Step 5: Solve for x
    x = 108,485,361.74/15,266.84
  6. Step 6: Final answer
    x = 7,105.95

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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.