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Finding the Fourth Proportional to 23,468.50, 32,381.49 and 13,911.40

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Solution

The fourth proportional to 23,468.50, 32,381.49 and 13,911.40 is: 19,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.50 : 32,381.49 = 13,911.40 : x
  2. Step 2: Convert to fraction form
    23,468.50/32,381.49 = 13,911.40/x
  3. Step 3: Cross multiply
    23,468.50x = 32,381.49 × 13,911.40
  4. Step 4: Simplify right side
    23,468.50x = 450,471,859.99
  5. Step 5: Solve for x
    x = 450,471,859.99/23,468.50
  6. Step 6: Final answer
    x = 19,194.74

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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.