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Finding the Fourth Proportional to 13,846.24, 20,770.08 and 8,335

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Solution

The fourth proportional to 13,846.24, 20,770.08 and 8,335 is: 12,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.24 : 20,770.08 = 8,335 : x
  2. Step 2: Convert to fraction form
    13,846.24/20,770.08 = 8,335/x
  3. Step 3: Cross multiply
    13,846.24x = 20,770.08 × 8,335
  4. Step 4: Simplify right side
    13,846.24x = 173,118,616.80
  5. Step 5: Solve for x
    x = 173,118,616.80/13,846.24
  6. Step 6: Final answer
    x = 12,502.93

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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.