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Finding the Fourth Proportional to 21,094.92, 31,651.11 and 9,242.57

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Solution

The fourth proportional to 21,094.92, 31,651.11 and 9,242.57 is: 13,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.92 : 31,651.11 = 9,242.57 : x
  2. Step 2: Convert to fraction form
    21,094.92/31,651.11 = 9,242.57/x
  3. Step 3: Cross multiply
    21,094.92x = 31,651.11 × 9,242.57
  4. Step 4: Simplify right side
    21,094.92x = 292,537,441.50
  5. Step 5: Solve for x
    x = 292,537,441.50/21,094.92
  6. Step 6: Final answer
    x = 13,867.67

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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.