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Finding the Fourth Proportional to 13,294.02, 19,945.62 and 5,903.67

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Solution

The fourth proportional to 13,294.02, 19,945.62 and 5,903.67 is: 8,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.02 : 19,945.62 = 5,903.67 : x
  2. Step 2: Convert to fraction form
    13,294.02/19,945.62 = 5,903.67/x
  3. Step 3: Cross multiply
    13,294.02x = 19,945.62 × 5,903.67
  4. Step 4: Simplify right side
    13,294.02x = 117,752,358.43
  5. Step 5: Solve for x
    x = 117,752,358.43/13,294.02
  6. Step 6: Final answer
    x = 8,857.54

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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.