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Finding the Fourth Proportional to 12,189.96, 18,271.14 and 5,602.54

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Solution

The fourth proportional to 12,189.96, 18,271.14 and 5,602.54 is: 8,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.96 : 18,271.14 = 5,602.54 : x
  2. Step 2: Convert to fraction form
    12,189.96/18,271.14 = 5,602.54/x
  3. Step 3: Cross multiply
    12,189.96x = 18,271.14 × 5,602.54
  4. Step 4: Simplify right side
    12,189.96x = 102,364,792.70
  5. Step 5: Solve for x
    x = 102,364,792.70/12,189.96
  6. Step 6: Final answer
    x = 8,397.47

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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.