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Finding the Fourth Proportional to 12,852.27, 19,271.12 and 7,661.79

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Solution

The fourth proportional to 12,852.27, 19,271.12 and 7,661.79 is: 11,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.27 : 19,271.12 = 7,661.79 : x
  2. Step 2: Convert to fraction form
    12,852.27/19,271.12 = 7,661.79/x
  3. Step 3: Cross multiply
    12,852.27x = 19,271.12 × 7,661.79
  4. Step 4: Simplify right side
    12,852.27x = 147,651,236.20
  5. Step 5: Solve for x
    x = 147,651,236.20/12,852.27
  6. Step 6: Final answer
    x = 11,488.34

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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.