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Finding the Fourth Proportional to 13,585.59, 20,409.66 and 9,592.20

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Solution

The fourth proportional to 13,585.59, 20,409.66 and 9,592.20 is: 14,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.59 : 20,409.66 = 9,592.20 : x
  2. Step 2: Convert to fraction form
    13,585.59/20,409.66 = 9,592.20/x
  3. Step 3: Cross multiply
    13,585.59x = 20,409.66 × 9,592.20
  4. Step 4: Simplify right side
    13,585.59x = 195,773,540.65
  5. Step 5: Solve for x
    x = 195,773,540.65/13,585.59
  6. Step 6: Final answer
    x = 14,410.38

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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.