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Finding the Fourth Proportional to 13,624.59, 20,435.32 and 4,738.21

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Solution

The fourth proportional to 13,624.59, 20,435.32 and 4,738.21 is: 7,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.59 : 20,435.32 = 4,738.21 : x
  2. Step 2: Convert to fraction form
    13,624.59/20,435.32 = 4,738.21/x
  3. Step 3: Cross multiply
    13,624.59x = 20,435.32 × 4,738.21
  4. Step 4: Simplify right side
    13,624.59x = 96,826,837.58
  5. Step 5: Solve for x
    x = 96,826,837.58/13,624.59
  6. Step 6: Final answer
    x = 7,106.77

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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.