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Finding the Fourth Proportional to 28,465.54, 42,684.64 and 13,460.16

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Solution

The fourth proportional to 28,465.54, 42,684.64 and 13,460.16 is: 20,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465.54 : 42,684.64 = 13,460.16 : x
  2. Step 2: Convert to fraction form
    28,465.54/42,684.64 = 13,460.16/x
  3. Step 3: Cross multiply
    28,465.54x = 42,684.64 × 13,460.16
  4. Step 4: Simplify right side
    28,465.54x = 574,542,083.94
  5. Step 5: Solve for x
    x = 574,542,083.94/28,465.54
  6. Step 6: Final answer
    x = 20,183.78

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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.