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Finding the Fourth Proportional to 13,821.60, 20,732.40 and 10,322.40

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Solution

The fourth proportional to 13,821.60, 20,732.40 and 10,322.40 is: 15,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.60 : 20,732.40 = 10,322.40 : x
  2. Step 2: Convert to fraction form
    13,821.60/20,732.40 = 10,322.40/x
  3. Step 3: Cross multiply
    13,821.60x = 20,732.40 × 10,322.40
  4. Step 4: Simplify right side
    13,821.60x = 214,008,125.76
  5. Step 5: Solve for x
    x = 214,008,125.76/13,821.60
  6. Step 6: Final answer
    x = 15,483.60

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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.