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Finding the Fourth Proportional to 25,843.34, 35,663.68 and 14,512.84

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Solution

The fourth proportional to 25,843.34, 35,663.68 and 14,512.84 is: 20,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.34 : 35,663.68 = 14,512.84 : x
  2. Step 2: Convert to fraction form
    25,843.34/35,663.68 = 14,512.84/x
  3. Step 3: Cross multiply
    25,843.34x = 35,663.68 × 14,512.84
  4. Step 4: Simplify right side
    25,843.34x = 517,581,281.65
  5. Step 5: Solve for x
    x = 517,581,281.65/25,843.34
  6. Step 6: Final answer
    x = 20,027.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.