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Finding the Fourth Proportional to 27,562.50, 41,345.64 and 10,922.51

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Solution

The fourth proportional to 27,562.50, 41,345.64 and 10,922.51 is: 16,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.50 : 41,345.64 = 10,922.51 : x
  2. Step 2: Convert to fraction form
    27,562.50/41,345.64 = 10,922.51/x
  3. Step 3: Cross multiply
    27,562.50x = 41,345.64 × 10,922.51
  4. Step 4: Simplify right side
    27,562.50x = 451,598,269.72
  5. Step 5: Solve for x
    x = 451,598,269.72/27,562.50
  6. Step 6: Final answer
    x = 16,384.52

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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.