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Finding the Fourth Proportional to 27,832.32, 41,744.44 and 9,113.10

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Solution

The fourth proportional to 27,832.32, 41,744.44 and 9,113.10 is: 13,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.32 : 41,744.44 = 9,113.10 : x
  2. Step 2: Convert to fraction form
    27,832.32/41,744.44 = 9,113.10/x
  3. Step 3: Cross multiply
    27,832.32x = 41,744.44 × 9,113.10
  4. Step 4: Simplify right side
    27,832.32x = 380,421,256.16
  5. Step 5: Solve for x
    x = 380,421,256.16/27,832.32
  6. Step 6: Final answer
    x = 13,668.33

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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.