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Finding the Fourth Proportional to 13,585.46, 20,373.21 and 4,698.54

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Solution

The fourth proportional to 13,585.46, 20,373.21 and 4,698.54 is: 7,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.46 : 20,373.21 = 4,698.54 : x
  2. Step 2: Convert to fraction form
    13,585.46/20,373.21 = 4,698.54/x
  3. Step 3: Cross multiply
    13,585.46x = 20,373.21 × 4,698.54
  4. Step 4: Simplify right side
    13,585.46x = 95,724,342.11
  5. Step 5: Solve for x
    x = 95,724,342.11/13,585.46
  6. Step 6: Final answer
    x = 7,046.09

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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.