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Finding the Fourth Proportional to 14,906.70, 22,323.60 and 7,106.40

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Solution

The fourth proportional to 14,906.70, 22,323.60 and 7,106.40 is: 10,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.70 : 22,323.60 = 7,106.40 : x
  2. Step 2: Convert to fraction form
    14,906.70/22,323.60 = 7,106.40/x
  3. Step 3: Cross multiply
    14,906.70x = 22,323.60 × 7,106.40
  4. Step 4: Simplify right side
    14,906.70x = 158,640,431.04
  5. Step 5: Solve for x
    x = 158,640,431.04/14,906.70
  6. Step 6: Final answer
    x = 10,642.22

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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.