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Finding the Fourth Proportional to 12,494.88, 18,738.60 and 4,701.84

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Solution

The fourth proportional to 12,494.88, 18,738.60 and 4,701.84 is: 7,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.88 : 18,738.60 = 4,701.84 : x
  2. Step 2: Convert to fraction form
    12,494.88/18,738.60 = 4,701.84/x
  3. Step 3: Cross multiply
    12,494.88x = 18,738.60 × 4,701.84
  4. Step 4: Simplify right side
    12,494.88x = 88,105,899.02
  5. Step 5: Solve for x
    x = 88,105,899.02/12,494.88
  6. Step 6: Final answer
    x = 7,051.36

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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.