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Finding the Fourth Proportional to 13,354.67, 20,047.46 and 7,811.98

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Solution

The fourth proportional to 13,354.67, 20,047.46 and 7,811.98 is: 11,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.67 : 20,047.46 = 7,811.98 : x
  2. Step 2: Convert to fraction form
    13,354.67/20,047.46 = 7,811.98/x
  3. Step 3: Cross multiply
    13,354.67x = 20,047.46 × 7,811.98
  4. Step 4: Simplify right side
    13,354.67x = 156,610,267.39
  5. Step 5: Solve for x
    x = 156,610,267.39/13,354.67
  6. Step 6: Final answer
    x = 11,727.00

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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.