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Finding the Fourth Proportional to 21,173.67, 31,756.05 and 13,654.71

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Solution

The fourth proportional to 21,173.67, 31,756.05 and 13,654.71 is: 20,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.67 : 31,756.05 = 13,654.71 : x
  2. Step 2: Convert to fraction form
    21,173.67/31,756.05 = 13,654.71/x
  3. Step 3: Cross multiply
    21,173.67x = 31,756.05 × 13,654.71
  4. Step 4: Simplify right side
    21,173.67x = 433,619,653.50
  5. Step 5: Solve for x
    x = 433,619,653.50/21,173.67
  6. Step 6: Final answer
    x = 20,479.19

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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.