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Finding the Fourth Proportional to 13,409.64, 20,106.72 and 4,640.04

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Solution

The fourth proportional to 13,409.64, 20,106.72 and 4,640.04 is: 6,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.64 : 20,106.72 = 4,640.04 : x
  2. Step 2: Convert to fraction form
    13,409.64/20,106.72 = 4,640.04/x
  3. Step 3: Cross multiply
    13,409.64x = 20,106.72 × 4,640.04
  4. Step 4: Simplify right side
    13,409.64x = 93,295,985.07
  5. Step 5: Solve for x
    x = 93,295,985.07/13,409.64
  6. Step 6: Final answer
    x = 6,957.38

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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.