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Finding the Fourth Proportional to 27,666.33, 41,501.12 and 7,944.45

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Solution

The fourth proportional to 27,666.33, 41,501.12 and 7,944.45 is: 11,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.33 : 41,501.12 = 7,944.45 : x
  2. Step 2: Convert to fraction form
    27,666.33/41,501.12 = 7,944.45/x
  3. Step 3: Cross multiply
    27,666.33x = 41,501.12 × 7,944.45
  4. Step 4: Simplify right side
    27,666.33x = 329,703,533.06
  5. Step 5: Solve for x
    x = 329,703,533.06/27,666.33
  6. Step 6: Final answer
    x = 11,917.14

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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.