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Finding the Fourth Proportional to 27,846.56, 41,740.68 and 13,043

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Solution

The fourth proportional to 27,846.56, 41,740.68 and 13,043 is: 19,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.56 : 41,740.68 = 13,043 : x
  2. Step 2: Convert to fraction form
    27,846.56/41,740.68 = 13,043/x
  3. Step 3: Cross multiply
    27,846.56x = 41,740.68 × 13,043
  4. Step 4: Simplify right side
    27,846.56x = 544,423,689.24
  5. Step 5: Solve for x
    x = 544,423,689.24/27,846.56
  6. Step 6: Final answer
    x = 19,550.84

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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.