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Finding the Fourth Proportional to 20,302.60, 30,420.96 and 10,428.16

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Solution

The fourth proportional to 20,302.60, 30,420.96 and 10,428.16 is: 15,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.60 : 30,420.96 = 10,428.16 : x
  2. Step 2: Convert to fraction form
    20,302.60/30,420.96 = 10,428.16/x
  3. Step 3: Cross multiply
    20,302.60x = 30,420.96 × 10,428.16
  4. Step 4: Simplify right side
    20,302.60x = 317,234,638.23
  5. Step 5: Solve for x
    x = 317,234,638.23/20,302.60
  6. Step 6: Final answer
    x = 15,625.32

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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.