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Finding the Fourth Proportional to 23,165.67, 34,753.32 and 9,314.67

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Solution

The fourth proportional to 23,165.67, 34,753.32 and 9,314.67 is: 13,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.67 : 34,753.32 = 9,314.67 : x
  2. Step 2: Convert to fraction form
    23,165.67/34,753.32 = 9,314.67/x
  3. Step 3: Cross multiply
    23,165.67x = 34,753.32 × 9,314.67
  4. Step 4: Simplify right side
    23,165.67x = 323,715,707.20
  5. Step 5: Solve for x
    x = 323,715,707.20/23,165.67
  6. Step 6: Final answer
    x = 13,973.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.