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Finding the Fourth Proportional to 13,706.17, 20,559.26 and 4,828.07

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Solution

The fourth proportional to 13,706.17, 20,559.26 and 4,828.07 is: 7,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.17 : 20,559.26 = 4,828.07 : x
  2. Step 2: Convert to fraction form
    13,706.17/20,559.26 = 4,828.07/x
  3. Step 3: Cross multiply
    13,706.17x = 20,559.26 × 4,828.07
  4. Step 4: Simplify right side
    13,706.17x = 99,261,573.69
  5. Step 5: Solve for x
    x = 99,261,573.69/13,706.17
  6. Step 6: Final answer
    x = 7,242.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.