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Finding the Fourth Proportional to 13,000.68, 19,468.14 and 8,604.84

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Solution

The fourth proportional to 13,000.68, 19,468.14 and 8,604.84 is: 12,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.68 : 19,468.14 = 8,604.84 : x
  2. Step 2: Convert to fraction form
    13,000.68/19,468.14 = 8,604.84/x
  3. Step 3: Cross multiply
    13,000.68x = 19,468.14 × 8,604.84
  4. Step 4: Simplify right side
    13,000.68x = 167,520,229.80
  5. Step 5: Solve for x
    x = 167,520,229.80/13,000.68
  6. Step 6: Final answer
    x = 12,885.50

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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.