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Finding the Fourth Proportional to 17,206.48, 25,809.72 and 14,122

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Solution

The fourth proportional to 17,206.48, 25,809.72 and 14,122 is: 21,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.48 : 25,809.72 = 14,122 : x
  2. Step 2: Convert to fraction form
    17,206.48/25,809.72 = 14,122/x
  3. Step 3: Cross multiply
    17,206.48x = 25,809.72 × 14,122
  4. Step 4: Simplify right side
    17,206.48x = 364,484,865.84
  5. Step 5: Solve for x
    x = 364,484,865.84/17,206.48
  6. Step 6: Final answer
    x = 21,183.00

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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.