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Finding the Fourth Proportional to 23,673.46, 32,673.24 and 14,114.56

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Solution

The fourth proportional to 23,673.46, 32,673.24 and 14,114.56 is: 19,480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.46 : 32,673.24 = 14,114.56 : x
  2. Step 2: Convert to fraction form
    23,673.46/32,673.24 = 14,114.56/x
  3. Step 3: Cross multiply
    23,673.46x = 32,673.24 × 14,114.56
  4. Step 4: Simplify right side
    23,673.46x = 461,168,406.37
  5. Step 5: Solve for x
    x = 461,168,406.37/23,673.46
  6. Step 6: Final answer
    x = 19,480.40

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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.