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Finding the Fourth Proportional to 13,435.68, 20,120 and 8,490.40

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Solution

The fourth proportional to 13,435.68, 20,120 and 8,490.40 is: 12,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.68 : 20,120 = 8,490.40 : x
  2. Step 2: Convert to fraction form
    13,435.68/20,120 = 8,490.40/x
  3. Step 3: Cross multiply
    13,435.68x = 20,120 × 8,490.40
  4. Step 4: Simplify right side
    13,435.68x = 170,826,848
  5. Step 5: Solve for x
    x = 170,826,848/13,435.68
  6. Step 6: Final answer
    x = 12,714.42

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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.