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Finding the Fourth Proportional to 24,535.69, 36,814.47 and 8,949.67

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Solution

The fourth proportional to 24,535.69, 36,814.47 and 8,949.67 is: 13,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.69 : 36,814.47 = 8,949.67 : x
  2. Step 2: Convert to fraction form
    24,535.69/36,814.47 = 8,949.67/x
  3. Step 3: Cross multiply
    24,535.69x = 36,814.47 × 8,949.67
  4. Step 4: Simplify right side
    24,535.69x = 329,477,128.90
  5. Step 5: Solve for x
    x = 329,477,128.90/24,535.69
  6. Step 6: Final answer
    x = 13,428.49

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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.