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Finding the Fourth Proportional to 18,647.20, 27,970.80 and 13,106.80

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Solution

The fourth proportional to 18,647.20, 27,970.80 and 13,106.80 is: 19,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.20 : 27,970.80 = 13,106.80 : x
  2. Step 2: Convert to fraction form
    18,647.20/27,970.80 = 13,106.80/x
  3. Step 3: Cross multiply
    18,647.20x = 27,970.80 × 13,106.80
  4. Step 4: Simplify right side
    18,647.20x = 366,607,681.44
  5. Step 5: Solve for x
    x = 366,607,681.44/18,647.20
  6. Step 6: Final answer
    x = 19,660.20

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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.