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Finding the Fourth Proportional to 12,280.22, 16,969.67 and 10,462.23

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Solution

The fourth proportional to 12,280.22, 16,969.67 and 10,462.23 is: 14,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.22 : 16,969.67 = 10,462.23 : x
  2. Step 2: Convert to fraction form
    12,280.22/16,969.67 = 10,462.23/x
  3. Step 3: Cross multiply
    12,280.22x = 16,969.67 × 10,462.23
  4. Step 4: Simplify right side
    12,280.22x = 177,540,602.25
  5. Step 5: Solve for x
    x = 177,540,602.25/12,280.22
  6. Step 6: Final answer
    x = 14,457.45

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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.