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Finding the Fourth Proportional to 13,466.71, 20,200.19 and 4,701.65

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Solution

The fourth proportional to 13,466.71, 20,200.19 and 4,701.65 is: 7,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.71 : 20,200.19 = 4,701.65 : x
  2. Step 2: Convert to fraction form
    13,466.71/20,200.19 = 4,701.65/x
  3. Step 3: Cross multiply
    13,466.71x = 20,200.19 × 4,701.65
  4. Step 4: Simplify right side
    13,466.71x = 94,974,098.80
  5. Step 5: Solve for x
    x = 94,974,098.80/13,466.71
  6. Step 6: Final answer
    x = 7,052.51

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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.