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Finding the Fourth Proportional to 23,229.45, 32,056.47 and 12,619.16

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Solution

The fourth proportional to 23,229.45, 32,056.47 and 12,619.16 is: 17,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.45 : 32,056.47 = 12,619.16 : x
  2. Step 2: Convert to fraction form
    23,229.45/32,056.47 = 12,619.16/x
  3. Step 3: Cross multiply
    23,229.45x = 32,056.47 × 12,619.16
  4. Step 4: Simplify right side
    23,229.45x = 404,525,804.11
  5. Step 5: Solve for x
    x = 404,525,804.11/23,229.45
  6. Step 6: Final answer
    x = 17,414.35

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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.