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Finding the Fourth Proportional to 13,561.68, 20,302.80 and 10,287.72

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Solution

The fourth proportional to 13,561.68, 20,302.80 and 10,287.72 is: 15,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.68 : 20,302.80 = 10,287.72 : x
  2. Step 2: Convert to fraction form
    13,561.68/20,302.80 = 10,287.72/x
  3. Step 3: Cross multiply
    13,561.68x = 20,302.80 × 10,287.72
  4. Step 4: Simplify right side
    13,561.68x = 208,869,521.62
  5. Step 5: Solve for x
    x = 208,869,521.62/13,561.68
  6. Step 6: Final answer
    x = 15,401.45

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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.