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Finding the Fourth Proportional to 28,106.80, 42,176.40 and 10,589.20

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Solution

The fourth proportional to 28,106.80, 42,176.40 and 10,589.20 is: 15,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.80 : 42,176.40 = 10,589.20 : x
  2. Step 2: Convert to fraction form
    28,106.80/42,176.40 = 10,589.20/x
  3. Step 3: Cross multiply
    28,106.80x = 42,176.40 × 10,589.20
  4. Step 4: Simplify right side
    28,106.80x = 446,614,334.88
  5. Step 5: Solve for x
    x = 446,614,334.88/28,106.80
  6. Step 6: Final answer
    x = 15,889.90

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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.