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Finding the Fourth Proportional to 13,585.34, 20,362.52 and 6,173.24

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Solution

The fourth proportional to 13,585.34, 20,362.52 and 6,173.24 is: 9,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.34 : 20,362.52 = 6,173.24 : x
  2. Step 2: Convert to fraction form
    13,585.34/20,362.52 = 6,173.24/x
  3. Step 3: Cross multiply
    13,585.34x = 20,362.52 × 6,173.24
  4. Step 4: Simplify right side
    13,585.34x = 125,702,636.59
  5. Step 5: Solve for x
    x = 125,702,636.59/13,585.34
  6. Step 6: Final answer
    x = 9,252.81

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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.