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Finding the Fourth Proportional to 13,541.40, 20,307.18 and 5,217.18

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Solution

The fourth proportional to 13,541.40, 20,307.18 and 5,217.18 is: 7,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.40 : 20,307.18 = 5,217.18 : x
  2. Step 2: Convert to fraction form
    13,541.40/20,307.18 = 5,217.18/x
  3. Step 3: Cross multiply
    13,541.40x = 20,307.18 × 5,217.18
  4. Step 4: Simplify right side
    13,541.40x = 105,946,213.35
  5. Step 5: Solve for x
    x = 105,946,213.35/13,541.40
  6. Step 6: Final answer
    x = 7,823.87

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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.