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Finding the Fourth Proportional to 12,292.16, 18,429.12 and 3,967.58

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Solution

The fourth proportional to 12,292.16, 18,429.12 and 3,967.58 is: 5,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.16 : 18,429.12 = 3,967.58 : x
  2. Step 2: Convert to fraction form
    12,292.16/18,429.12 = 3,967.58/x
  3. Step 3: Cross multiply
    12,292.16x = 18,429.12 × 3,967.58
  4. Step 4: Simplify right side
    12,292.16x = 73,119,054.00
  5. Step 5: Solve for x
    x = 73,119,054.00/12,292.16
  6. Step 6: Final answer
    x = 5,948.43

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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.