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Finding the Fourth Proportional to 13,792.79, 20,672.98 and 6,381.59

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Solution

The fourth proportional to 13,792.79, 20,672.98 and 6,381.59 is: 9,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.79 : 20,672.98 = 6,381.59 : x
  2. Step 2: Convert to fraction form
    13,792.79/20,672.98 = 6,381.59/x
  3. Step 3: Cross multiply
    13,792.79x = 20,672.98 × 6,381.59
  4. Step 4: Simplify right side
    13,792.79x = 131,926,482.44
  5. Step 5: Solve for x
    x = 131,926,482.44/13,792.79
  6. Step 6: Final answer
    x = 9,564.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.