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Finding the Fourth Proportional to 13,053.70, 18,023.47 and 8,024.67

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Solution

The fourth proportional to 13,053.70, 18,023.47 and 8,024.67 is: 11,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.70 : 18,023.47 = 8,024.67 : x
  2. Step 2: Convert to fraction form
    13,053.70/18,023.47 = 8,024.67/x
  3. Step 3: Cross multiply
    13,053.70x = 18,023.47 × 8,024.67
  4. Step 4: Simplify right side
    13,053.70x = 144,632,308.89
  5. Step 5: Solve for x
    x = 144,632,308.89/13,053.70
  6. Step 6: Final answer
    x = 11,079.79

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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.