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Finding the Fourth Proportional to 13,234, 19,854.24 and 4,000

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Solution

The fourth proportional to 13,234, 19,854.24 and 4,000 is: 6,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 19,854.24 = 4,000 : x
  2. Step 2: Convert to fraction form
    13,234/19,854.24 = 4,000/x
  3. Step 3: Cross multiply
    13,234x = 19,854.24 × 4,000
  4. Step 4: Simplify right side
    13,234x = 79,416,960
  5. Step 5: Solve for x
    x = 79,416,960/13,234
  6. Step 6: Final answer
    x = 6,000.98

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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.