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Finding the Fourth Proportional to 23,057.84, 34,575.13 and 10,567.34

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Solution

The fourth proportional to 23,057.84, 34,575.13 and 10,567.34 is: 15,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.84 : 34,575.13 = 10,567.34 : x
  2. Step 2: Convert to fraction form
    23,057.84/34,575.13 = 10,567.34/x
  3. Step 3: Cross multiply
    23,057.84x = 34,575.13 × 10,567.34
  4. Step 4: Simplify right side
    23,057.84x = 365,366,954.96
  5. Step 5: Solve for x
    x = 365,366,954.96/23,057.84
  6. Step 6: Final answer
    x = 15,845.67

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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.