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Finding the Fourth Proportional to 13,790.40, 20,678.04 and 5,470.08

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Solution

The fourth proportional to 13,790.40, 20,678.04 and 5,470.08 is: 8,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.40 : 20,678.04 = 5,470.08 : x
  2. Step 2: Convert to fraction form
    13,790.40/20,678.04 = 5,470.08/x
  3. Step 3: Cross multiply
    13,790.40x = 20,678.04 × 5,470.08
  4. Step 4: Simplify right side
    13,790.40x = 113,110,533.04
  5. Step 5: Solve for x
    x = 113,110,533.04/13,790.40
  6. Step 6: Final answer
    x = 8,202.12

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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.