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Finding the Fourth Proportional to 12,758.16, 19,096.30 and 6,820.23

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Solution

The fourth proportional to 12,758.16, 19,096.30 and 6,820.23 is: 10,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.16 : 19,096.30 = 6,820.23 : x
  2. Step 2: Convert to fraction form
    12,758.16/19,096.30 = 6,820.23/x
  3. Step 3: Cross multiply
    12,758.16x = 19,096.30 × 6,820.23
  4. Step 4: Simplify right side
    12,758.16x = 130,241,158.15
  5. Step 5: Solve for x
    x = 130,241,158.15/12,758.16
  6. Step 6: Final answer
    x = 10,208.46

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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.