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Finding the Fourth Proportional to 24,983.80, 34,478 and 13,653.24

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Solution

The fourth proportional to 24,983.80, 34,478 and 13,653.24 is: 18,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,983.80 : 34,478 = 13,653.24 : x
  2. Step 2: Convert to fraction form
    24,983.80/34,478 = 13,653.24/x
  3. Step 3: Cross multiply
    24,983.80x = 34,478 × 13,653.24
  4. Step 4: Simplify right side
    24,983.80x = 470,736,408.72
  5. Step 5: Solve for x
    x = 470,736,408.72/24,983.80
  6. Step 6: Final answer
    x = 18,841.67

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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.