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Finding the Fourth Proportional to 27,884.94, 41,825.36 and 9,164.76

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Solution

The fourth proportional to 27,884.94, 41,825.36 and 9,164.76 is: 13,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.94 : 41,825.36 = 9,164.76 : x
  2. Step 2: Convert to fraction form
    27,884.94/41,825.36 = 9,164.76/x
  3. Step 3: Cross multiply
    27,884.94x = 41,825.36 × 9,164.76
  4. Step 4: Simplify right side
    27,884.94x = 383,319,386.31
  5. Step 5: Solve for x
    x = 383,319,386.31/27,884.94
  6. Step 6: Final answer
    x = 13,746.47

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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.