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Finding the Fourth Proportional to 13,354.00, 20,024.71 and 7,809.03

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Solution

The fourth proportional to 13,354.00, 20,024.71 and 7,809.03 is: 11,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.00 : 20,024.71 = 7,809.03 : x
  2. Step 2: Convert to fraction form
    13,354.00/20,024.71 = 7,809.03/x
  3. Step 3: Cross multiply
    13,354.00x = 20,024.71 × 7,809.03
  4. Step 4: Simplify right side
    13,354.00x = 156,373,541.61
  5. Step 5: Solve for x
    x = 156,373,541.61/13,354.00
  6. Step 6: Final answer
    x = 11,709.87

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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.