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Finding the Fourth Proportional to 13,722.84, 20,580 and 7,145.46

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Solution

The fourth proportional to 13,722.84, 20,580 and 7,145.46 is: 10,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.84 : 20,580 = 7,145.46 : x
  2. Step 2: Convert to fraction form
    13,722.84/20,580 = 7,145.46/x
  3. Step 3: Cross multiply
    13,722.84x = 20,580 × 7,145.46
  4. Step 4: Simplify right side
    13,722.84x = 147,053,566.80
  5. Step 5: Solve for x
    x = 147,053,566.80/13,722.84
  6. Step 6: Final answer
    x = 10,715.97

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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.