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Finding the Fourth Proportional to 27,642.16, 41,448.66 and 12,051.28

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Solution

The fourth proportional to 27,642.16, 41,448.66 and 12,051.28 is: 18,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.16 : 41,448.66 = 12,051.28 : x
  2. Step 2: Convert to fraction form
    27,642.16/41,448.66 = 12,051.28/x
  3. Step 3: Cross multiply
    27,642.16x = 41,448.66 × 12,051.28
  4. Step 4: Simplify right side
    27,642.16x = 499,509,481.69
  5. Step 5: Solve for x
    x = 499,509,481.69/27,642.16
  6. Step 6: Final answer
    x = 18,070.57

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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.