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Finding the Fourth Proportional to 23,809.84, 32,859.16 and 13,199.92

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Solution

The fourth proportional to 23,809.84, 32,859.16 and 13,199.92 is: 18,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.84 : 32,859.16 = 13,199.92 : x
  2. Step 2: Convert to fraction form
    23,809.84/32,859.16 = 13,199.92/x
  3. Step 3: Cross multiply
    23,809.84x = 32,859.16 × 13,199.92
  4. Step 4: Simplify right side
    23,809.84x = 433,738,283.27
  5. Step 5: Solve for x
    x = 433,738,283.27/23,809.84
  6. Step 6: Final answer
    x = 18,216.77

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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.