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Finding the Fourth Proportional to 22,983.77, 34,458.11 and 10,495.12

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Solution

The fourth proportional to 22,983.77, 34,458.11 and 10,495.12 is: 15,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.77 : 34,458.11 = 10,495.12 : x
  2. Step 2: Convert to fraction form
    22,983.77/34,458.11 = 10,495.12/x
  3. Step 3: Cross multiply
    22,983.77x = 34,458.11 × 10,495.12
  4. Step 4: Simplify right side
    22,983.77x = 361,641,999.42
  5. Step 5: Solve for x
    x = 361,641,999.42/22,983.77
  6. Step 6: Final answer
    x = 15,734.67

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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.