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Finding the Fourth Proportional to 13,125.71, 19,674.64 and 6,452.80

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Solution

The fourth proportional to 13,125.71, 19,674.64 and 6,452.80 is: 9,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.71 : 19,674.64 = 6,452.80 : x
  2. Step 2: Convert to fraction form
    13,125.71/19,674.64 = 6,452.80/x
  3. Step 3: Cross multiply
    13,125.71x = 19,674.64 × 6,452.80
  4. Step 4: Simplify right side
    13,125.71x = 126,956,516.99
  5. Step 5: Solve for x
    x = 126,956,516.99/13,125.71
  6. Step 6: Final answer
    x = 9,672.35

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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.