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Finding the Fourth Proportional to 27,135.78, 40,707.53 and 8,417.36

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Solution

The fourth proportional to 27,135.78, 40,707.53 and 8,417.36 is: 12,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.78 : 40,707.53 = 8,417.36 : x
  2. Step 2: Convert to fraction form
    27,135.78/40,707.53 = 8,417.36/x
  3. Step 3: Cross multiply
    27,135.78x = 40,707.53 × 8,417.36
  4. Step 4: Simplify right side
    27,135.78x = 342,649,689.10
  5. Step 5: Solve for x
    x = 342,649,689.10/27,135.78
  6. Step 6: Final answer
    x = 12,627.23

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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.