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Finding the Fourth Proportional to 27,144, 40,712.74 and 11,566.08

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Solution

The fourth proportional to 27,144, 40,712.74 and 11,566.08 is: 17,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 40,712.74 = 11,566.08 : x
  2. Step 2: Convert to fraction form
    27,144/40,712.74 = 11,566.08/x
  3. Step 3: Cross multiply
    27,144x = 40,712.74 × 11,566.08
  4. Step 4: Simplify right side
    27,144x = 470,886,807.86
  5. Step 5: Solve for x
    x = 470,886,807.86/27,144
  6. Step 6: Final answer
    x = 17,347.73

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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.