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Finding the Fourth Proportional to 13,830.89, 20,742.21 and 5,063.72

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Solution

The fourth proportional to 13,830.89, 20,742.21 and 5,063.72 is: 7,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.89 : 20,742.21 = 5,063.72 : x
  2. Step 2: Convert to fraction form
    13,830.89/20,742.21 = 5,063.72/x
  3. Step 3: Cross multiply
    13,830.89x = 20,742.21 × 5,063.72
  4. Step 4: Simplify right side
    13,830.89x = 105,032,639.91
  5. Step 5: Solve for x
    x = 105,032,639.91/13,830.89
  6. Step 6: Final answer
    x = 7,594.07

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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.