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Finding the Fourth Proportional to 23,513.86, 32,448 and 13,443.94

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Solution

The fourth proportional to 23,513.86, 32,448 and 13,443.94 is: 18,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.86 : 32,448 = 13,443.94 : x
  2. Step 2: Convert to fraction form
    23,513.86/32,448 = 13,443.94/x
  3. Step 3: Cross multiply
    23,513.86x = 32,448 × 13,443.94
  4. Step 4: Simplify right side
    23,513.86x = 436,228,965.12
  5. Step 5: Solve for x
    x = 436,228,965.12/23,513.86
  6. Step 6: Final answer
    x = 18,551.99

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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.