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Finding the Fourth Proportional to 16,770.78, 23,140.94 and 9,695.84

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Solution

The fourth proportional to 16,770.78, 23,140.94 and 9,695.84 is: 13,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.78 : 23,140.94 = 9,695.84 : x
  2. Step 2: Convert to fraction form
    16,770.78/23,140.94 = 9,695.84/x
  3. Step 3: Cross multiply
    16,770.78x = 23,140.94 × 9,695.84
  4. Step 4: Simplify right side
    16,770.78x = 224,370,687.51
  5. Step 5: Solve for x
    x = 224,370,687.51/16,770.78
  6. Step 6: Final answer
    x = 13,378.67

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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.