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Finding the Fourth Proportional to 13,594.65, 20,383.65 and 12,434.42

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Solution

The fourth proportional to 13,594.65, 20,383.65 and 12,434.42 is: 18,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.65 : 20,383.65 = 12,434.42 : x
  2. Step 2: Convert to fraction form
    13,594.65/20,383.65 = 12,434.42/x
  3. Step 3: Cross multiply
    13,594.65x = 20,383.65 × 12,434.42
  4. Step 4: Simplify right side
    13,594.65x = 253,458,916.19
  5. Step 5: Solve for x
    x = 253,458,916.19/13,594.65
  6. Step 6: Final answer
    x = 18,644.02

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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.