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Finding the Fourth Proportional to 13,706.67, 20,560.01 and 4,828.58

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Solution

The fourth proportional to 13,706.67, 20,560.01 and 4,828.58 is: 7,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.67 : 20,560.01 = 4,828.58 : x
  2. Step 2: Convert to fraction form
    13,706.67/20,560.01 = 4,828.58/x
  3. Step 3: Cross multiply
    13,706.67x = 20,560.01 × 4,828.58
  4. Step 4: Simplify right side
    13,706.67x = 99,275,526.14
  5. Step 5: Solve for x
    x = 99,275,526.14/13,706.67
  6. Step 6: Final answer
    x = 7,242.86

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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.