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Finding the Fourth Proportional to 25,852.84, 35,674.36 and 14,519.76

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Solution

The fourth proportional to 25,852.84, 35,674.36 and 14,519.76 is: 20,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.84 : 35,674.36 = 14,519.76 : x
  2. Step 2: Convert to fraction form
    25,852.84/35,674.36 = 14,519.76/x
  3. Step 3: Cross multiply
    25,852.84x = 35,674.36 × 14,519.76
  4. Step 4: Simplify right side
    25,852.84x = 517,983,145.35
  5. Step 5: Solve for x
    x = 517,983,145.35/25,852.84
  6. Step 6: Final answer
    x = 20,035.83

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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.