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Finding the Fourth Proportional to 13,147.80, 19,721.70 and 12,078.60

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Solution

The fourth proportional to 13,147.80, 19,721.70 and 12,078.60 is: 18,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.80 : 19,721.70 = 12,078.60 : x
  2. Step 2: Convert to fraction form
    13,147.80/19,721.70 = 12,078.60/x
  3. Step 3: Cross multiply
    13,147.80x = 19,721.70 × 12,078.60
  4. Step 4: Simplify right side
    13,147.80x = 238,210,525.62
  5. Step 5: Solve for x
    x = 238,210,525.62/13,147.80
  6. Step 6: Final answer
    x = 18,117.90

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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.