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Finding the Fourth Proportional to 25,814.64, 35,624.20 and 14,636.56

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Solution

The fourth proportional to 25,814.64, 35,624.20 and 14,636.56 is: 20,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.64 : 35,624.20 = 14,636.56 : x
  2. Step 2: Convert to fraction form
    25,814.64/35,624.20 = 14,636.56/x
  3. Step 3: Cross multiply
    25,814.64x = 35,624.20 × 14,636.56
  4. Step 4: Simplify right side
    25,814.64x = 521,415,740.75
  5. Step 5: Solve for x
    x = 521,415,740.75/25,814.64
  6. Step 6: Final answer
    x = 20,198.45

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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.