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Finding the Fourth Proportional to 13,217.79, 19,817.85 and 6,971.22

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Solution

The fourth proportional to 13,217.79, 19,817.85 and 6,971.22 is: 10,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.79 : 19,817.85 = 6,971.22 : x
  2. Step 2: Convert to fraction form
    13,217.79/19,817.85 = 6,971.22/x
  3. Step 3: Cross multiply
    13,217.79x = 19,817.85 × 6,971.22
  4. Step 4: Simplify right side
    13,217.79x = 138,154,592.28
  5. Step 5: Solve for x
    x = 138,154,592.28/13,217.79
  6. Step 6: Final answer
    x = 10,452.17

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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.