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Finding the Fourth Proportional to 27,172.71, 40,746.72 and 8,447.22

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Solution

The fourth proportional to 27,172.71, 40,746.72 and 8,447.22 is: 12,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.71 : 40,746.72 = 8,447.22 : x
  2. Step 2: Convert to fraction form
    27,172.71/40,746.72 = 8,447.22/x
  3. Step 3: Cross multiply
    27,172.71x = 40,746.72 × 8,447.22
  4. Step 4: Simplify right side
    27,172.71x = 344,196,508.12
  5. Step 5: Solve for x
    x = 344,196,508.12/27,172.71
  6. Step 6: Final answer
    x = 12,666.99

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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.