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Finding the Fourth Proportional to 18,582.84, 25,644 and 10,199.28

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Solution

The fourth proportional to 18,582.84, 25,644 and 10,199.28 is: 14,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.84 : 25,644 = 10,199.28 : x
  2. Step 2: Convert to fraction form
    18,582.84/25,644 = 10,199.28/x
  3. Step 3: Cross multiply
    18,582.84x = 25,644 × 10,199.28
  4. Step 4: Simplify right side
    18,582.84x = 261,550,336.32
  5. Step 5: Solve for x
    x = 261,550,336.32/18,582.84
  6. Step 6: Final answer
    x = 14,074.83

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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.