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Finding the Fourth Proportional to 23,448.96, 32,369.76 and 14,496.48

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Solution

The fourth proportional to 23,448.96, 32,369.76 and 14,496.48 is: 20,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.96 : 32,369.76 = 14,496.48 : x
  2. Step 2: Convert to fraction form
    23,448.96/32,369.76 = 14,496.48/x
  3. Step 3: Cross multiply
    23,448.96x = 32,369.76 × 14,496.48
  4. Step 4: Simplify right side
    23,448.96x = 469,247,578.44
  5. Step 5: Solve for x
    x = 469,247,578.44/23,448.96
  6. Step 6: Final answer
    x = 20,011.45

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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.