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Finding the Fourth Proportional to 28,130.32, 42,195.68 and 8,409.05

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Solution

The fourth proportional to 28,130.32, 42,195.68 and 8,409.05 is: 12,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,130.32 : 42,195.68 = 8,409.05 : x
  2. Step 2: Convert to fraction form
    28,130.32/42,195.68 = 8,409.05/x
  3. Step 3: Cross multiply
    28,130.32x = 42,195.68 × 8,409.05
  4. Step 4: Simplify right side
    28,130.32x = 354,825,582.90
  5. Step 5: Solve for x
    x = 354,825,582.90/28,130.32
  6. Step 6: Final answer
    x = 12,613.63

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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.