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Finding the Fourth Proportional to 12,549.44, 18,822 and 4,228.58

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Solution

The fourth proportional to 12,549.44, 18,822 and 4,228.58 is: 6,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.44 : 18,822 = 4,228.58 : x
  2. Step 2: Convert to fraction form
    12,549.44/18,822 = 4,228.58/x
  3. Step 3: Cross multiply
    12,549.44x = 18,822 × 4,228.58
  4. Step 4: Simplify right side
    12,549.44x = 79,590,332.76
  5. Step 5: Solve for x
    x = 79,590,332.76/12,549.44
  6. Step 6: Final answer
    x = 6,342.14

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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.