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Finding the Fourth Proportional to 11,019.12, 16,548.42 and 10,140

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Solution

The fourth proportional to 11,019.12, 16,548.42 and 10,140 is: 15,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.12 : 16,548.42 = 10,140 : x
  2. Step 2: Convert to fraction form
    11,019.12/16,548.42 = 10,140/x
  3. Step 3: Cross multiply
    11,019.12x = 16,548.42 × 10,140
  4. Step 4: Simplify right side
    11,019.12x = 167,800,978.80
  5. Step 5: Solve for x
    x = 167,800,978.80/11,019.12
  6. Step 6: Final answer
    x = 15,228.17

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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.