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Finding the Fourth Proportional to 30,655.62, 45,984.29 and 8,469.00

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Solution

The fourth proportional to 30,655.62, 45,984.29 and 8,469.00 is: 12,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.62 : 45,984.29 = 8,469.00 : x
  2. Step 2: Convert to fraction form
    30,655.62/45,984.29 = 8,469.00/x
  3. Step 3: Cross multiply
    30,655.62x = 45,984.29 × 8,469.00
  4. Step 4: Simplify right side
    30,655.62x = 389,440,737.22
  5. Step 5: Solve for x
    x = 389,440,737.22/30,655.62
  6. Step 6: Final answer
    x = 12,703.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.