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Finding the Fourth Proportional to 12,642.74, 18,966.02 and 4,091.34

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Solution

The fourth proportional to 12,642.74, 18,966.02 and 4,091.34 is: 6,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.74 : 18,966.02 = 4,091.34 : x
  2. Step 2: Convert to fraction form
    12,642.74/18,966.02 = 4,091.34/x
  3. Step 3: Cross multiply
    12,642.74x = 18,966.02 × 4,091.34
  4. Step 4: Simplify right side
    12,642.74x = 77,596,415.81
  5. Step 5: Solve for x
    x = 77,596,415.81/12,642.74
  6. Step 6: Final answer
    x = 6,137.63

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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.