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Finding the Fourth Proportional to 27,547.44, 41,314.95 and 7,825.56

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Solution

The fourth proportional to 27,547.44, 41,314.95 and 7,825.56 is: 11,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.44 : 41,314.95 = 7,825.56 : x
  2. Step 2: Convert to fraction form
    27,547.44/41,314.95 = 7,825.56/x
  3. Step 3: Cross multiply
    27,547.44x = 41,314.95 × 7,825.56
  4. Step 4: Simplify right side
    27,547.44x = 323,312,620.12
  5. Step 5: Solve for x
    x = 323,312,620.12/27,547.44
  6. Step 6: Final answer
    x = 11,736.58

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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.