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Finding the Fourth Proportional to 13,477.57, 20,203.59 and 4,706.78

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Solution

The fourth proportional to 13,477.57, 20,203.59 and 4,706.78 is: 7,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.57 : 20,203.59 = 4,706.78 : x
  2. Step 2: Convert to fraction form
    13,477.57/20,203.59 = 4,706.78/x
  3. Step 3: Cross multiply
    13,477.57x = 20,203.59 × 4,706.78
  4. Step 4: Simplify right side
    13,477.57x = 95,093,853.34
  5. Step 5: Solve for x
    x = 95,093,853.34/13,477.57
  6. Step 6: Final answer
    x = 7,055.71

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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.