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Finding the Fourth Proportional to 14,447.70, 19,920.33 and 9,964.35

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Solution

The fourth proportional to 14,447.70, 19,920.33 and 9,964.35 is: 13,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.70 : 19,920.33 = 9,964.35 : x
  2. Step 2: Convert to fraction form
    14,447.70/19,920.33 = 9,964.35/x
  3. Step 3: Cross multiply
    14,447.70x = 19,920.33 × 9,964.35
  4. Step 4: Simplify right side
    14,447.70x = 198,493,140.24
  5. Step 5: Solve for x
    x = 198,493,140.24/14,447.70
  6. Step 6: Final answer
    x = 13,738.74

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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.