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Finding the Fourth Proportional to 12,038.85, 18,065.42 and 5,464.95

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Solution

The fourth proportional to 12,038.85, 18,065.42 and 5,464.95 is: 8,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.85 : 18,065.42 = 5,464.95 : x
  2. Step 2: Convert to fraction form
    12,038.85/18,065.42 = 5,464.95/x
  3. Step 3: Cross multiply
    12,038.85x = 18,065.42 × 5,464.95
  4. Step 4: Simplify right side
    12,038.85x = 98,726,617.03
  5. Step 5: Solve for x
    x = 98,726,617.03/12,038.85
  6. Step 6: Final answer
    x = 8,200.67

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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.