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Finding the Fourth Proportional to 28,443.20, 42,669.84 and 13,642.16

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Solution

The fourth proportional to 28,443.20, 42,669.84 and 13,642.16 is: 20,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,443.20 : 42,669.84 = 13,642.16 : x
  2. Step 2: Convert to fraction form
    28,443.20/42,669.84 = 13,642.16/x
  3. Step 3: Cross multiply
    28,443.20x = 42,669.84 × 13,642.16
  4. Step 4: Simplify right side
    28,443.20x = 582,108,784.45
  5. Step 5: Solve for x
    x = 582,108,784.45/28,443.20
  6. Step 6: Final answer
    x = 20,465.66

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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.