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Finding the Fourth Proportional to 12,292.06, 18,438.10 and 3,058.06

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Solution

The fourth proportional to 12,292.06, 18,438.10 and 3,058.06 is: 4,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.06 : 18,438.10 = 3,058.06 : x
  2. Step 2: Convert to fraction form
    12,292.06/18,438.10 = 3,058.06/x
  3. Step 3: Cross multiply
    12,292.06x = 18,438.10 × 3,058.06
  4. Step 4: Simplify right side
    12,292.06x = 56,384,816.09
  5. Step 5: Solve for x
    x = 56,384,816.09/12,292.06
  6. Step 6: Final answer
    x = 4,587.09

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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.