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Finding the Fourth Proportional to 23,984.69, 35,977.10 and 8,398.67

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Solution

The fourth proportional to 23,984.69, 35,977.10 and 8,398.67 is: 12,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.69 : 35,977.10 = 8,398.67 : x
  2. Step 2: Convert to fraction form
    23,984.69/35,977.10 = 8,398.67/x
  3. Step 3: Cross multiply
    23,984.69x = 35,977.10 × 8,398.67
  4. Step 4: Simplify right side
    23,984.69x = 302,159,568.58
  5. Step 5: Solve for x
    x = 302,159,568.58/23,984.69
  6. Step 6: Final answer
    x = 12,598.02

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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.