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Finding the Fourth Proportional to 13,790.36, 20,671.86 and 5,465.18

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Solution

The fourth proportional to 13,790.36, 20,671.86 and 5,465.18 is: 8,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.36 : 20,671.86 = 5,465.18 : x
  2. Step 2: Convert to fraction form
    13,790.36/20,671.86 = 5,465.18/x
  3. Step 3: Cross multiply
    13,790.36x = 20,671.86 × 5,465.18
  4. Step 4: Simplify right side
    13,790.36x = 112,975,435.83
  5. Step 5: Solve for x
    x = 112,975,435.83/13,790.36
  6. Step 6: Final answer
    x = 8,192.35

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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.