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Finding the Fourth Proportional to 16,113.18, 22,230.61 and 10,142.67

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Solution

The fourth proportional to 16,113.18, 22,230.61 and 10,142.67 is: 13,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.18 : 22,230.61 = 10,142.67 : x
  2. Step 2: Convert to fraction form
    16,113.18/22,230.61 = 10,142.67/x
  3. Step 3: Cross multiply
    16,113.18x = 22,230.61 × 10,142.67
  4. Step 4: Simplify right side
    16,113.18x = 225,477,741.13
  5. Step 5: Solve for x
    x = 225,477,741.13/16,113.18
  6. Step 6: Final answer
    x = 13,993.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.