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Finding the Fourth Proportional to 14,401.46, 19,877.08 and 9,683

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Solution

The fourth proportional to 14,401.46, 19,877.08 and 9,683 is: 13,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.46 : 19,877.08 = 9,683 : x
  2. Step 2: Convert to fraction form
    14,401.46/19,877.08 = 9,683/x
  3. Step 3: Cross multiply
    14,401.46x = 19,877.08 × 9,683
  4. Step 4: Simplify right side
    14,401.46x = 192,469,765.64
  5. Step 5: Solve for x
    x = 192,469,765.64/14,401.46
  6. Step 6: Final answer
    x = 13,364.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.