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Finding the Fourth Proportional to 27,024.96, 40,511.52 and 8,544

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Solution

The fourth proportional to 27,024.96, 40,511.52 and 8,544 is: 12,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024.96 : 40,511.52 = 8,544 : x
  2. Step 2: Convert to fraction form
    27,024.96/40,511.52 = 8,544/x
  3. Step 3: Cross multiply
    27,024.96x = 40,511.52 × 8,544
  4. Step 4: Simplify right side
    27,024.96x = 346,130,426.88
  5. Step 5: Solve for x
    x = 346,130,426.88/27,024.96
  6. Step 6: Final answer
    x = 12,807.81

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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.