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Finding the Fourth Proportional to 13,594.64, 20,370.04 and 8,389.52

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Solution

The fourth proportional to 13,594.64, 20,370.04 and 8,389.52 is: 12,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.64 : 20,370.04 = 8,389.52 : x
  2. Step 2: Convert to fraction form
    13,594.64/20,370.04 = 8,389.52/x
  3. Step 3: Cross multiply
    13,594.64x = 20,370.04 × 8,389.52
  4. Step 4: Simplify right side
    13,594.64x = 170,894,857.98
  5. Step 5: Solve for x
    x = 170,894,857.98/13,594.64
  6. Step 6: Final answer
    x = 12,570.75

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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.