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Finding the Fourth Proportional to 16,849.57, 25,279.22 and 5,164.51

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Solution

The fourth proportional to 16,849.57, 25,279.22 and 5,164.51 is: 7,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849.57 : 25,279.22 = 5,164.51 : x
  2. Step 2: Convert to fraction form
    16,849.57/25,279.22 = 5,164.51/x
  3. Step 3: Cross multiply
    16,849.57x = 25,279.22 × 5,164.51
  4. Step 4: Simplify right side
    16,849.57x = 130,554,695.46
  5. Step 5: Solve for x
    x = 130,554,695.46/16,849.57
  6. Step 6: Final answer
    x = 7,748.25

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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.