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Finding the Fourth Proportional to 12,106.50, 16,705.40 and 7,069.72

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Solution

The fourth proportional to 12,106.50, 16,705.40 and 7,069.72 is: 9,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.50 : 16,705.40 = 7,069.72 : x
  2. Step 2: Convert to fraction form
    12,106.50/16,705.40 = 7,069.72/x
  3. Step 3: Cross multiply
    12,106.50x = 16,705.40 × 7,069.72
  4. Step 4: Simplify right side
    12,106.50x = 118,102,500.49
  5. Step 5: Solve for x
    x = 118,102,500.49/12,106.50
  6. Step 6: Final answer
    x = 9,755.30

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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.