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Finding the Fourth Proportional to 27,130.16, 40,701.58 and 8,409.22

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Solution

The fourth proportional to 27,130.16, 40,701.58 and 8,409.22 is: 12,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.16 : 40,701.58 = 8,409.22 : x
  2. Step 2: Convert to fraction form
    27,130.16/40,701.58 = 8,409.22/x
  3. Step 3: Cross multiply
    27,130.16x = 40,701.58 × 8,409.22
  4. Step 4: Simplify right side
    27,130.16x = 342,268,540.57
  5. Step 5: Solve for x
    x = 342,268,540.57/27,130.16
  6. Step 6: Final answer
    x = 12,615.80

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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.