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Finding the Fourth Proportional to 12,158.32, 18,271.68 and 7,228.84

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Solution

The fourth proportional to 12,158.32, 18,271.68 and 7,228.84 is: 10,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.32 : 18,271.68 = 7,228.84 : x
  2. Step 2: Convert to fraction form
    12,158.32/18,271.68 = 7,228.84/x
  3. Step 3: Cross multiply
    12,158.32x = 18,271.68 × 7,228.84
  4. Step 4: Simplify right side
    12,158.32x = 132,083,051.25
  5. Step 5: Solve for x
    x = 132,083,051.25/12,158.32
  6. Step 6: Final answer
    x = 10,863.59

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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.