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Finding the Fourth Proportional to 27,137.90, 40,712.72 and 8,417.57

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Solution

The fourth proportional to 27,137.90, 40,712.72 and 8,417.57 is: 12,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.90 : 40,712.72 = 8,417.57 : x
  2. Step 2: Convert to fraction form
    27,137.90/40,712.72 = 8,417.57/x
  3. Step 3: Cross multiply
    27,137.90x = 40,712.72 × 8,417.57
  4. Step 4: Simplify right side
    27,137.90x = 342,701,924.84
  5. Step 5: Solve for x
    x = 342,701,924.84/27,137.90
  6. Step 6: Final answer
    x = 12,628.17

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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.