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Finding the Fourth Proportional to 24,883.67, 34,339.47 and 13,705.67

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Solution

The fourth proportional to 24,883.67, 34,339.47 and 13,705.67 is: 18,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.67 : 34,339.47 = 13,705.67 : x
  2. Step 2: Convert to fraction form
    24,883.67/34,339.47 = 13,705.67/x
  3. Step 3: Cross multiply
    24,883.67x = 34,339.47 × 13,705.67
  4. Step 4: Simplify right side
    24,883.67x = 470,645,443.79
  5. Step 5: Solve for x
    x = 470,645,443.79/24,883.67
  6. Step 6: Final answer
    x = 18,913.83

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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.