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Finding the Fourth Proportional to 12,058.77, 18,049.88 and 11,599.50

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Solution

The fourth proportional to 12,058.77, 18,049.88 and 11,599.50 is: 17,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.77 : 18,049.88 = 11,599.50 : x
  2. Step 2: Convert to fraction form
    12,058.77/18,049.88 = 11,599.50/x
  3. Step 3: Cross multiply
    12,058.77x = 18,049.88 × 11,599.50
  4. Step 4: Simplify right side
    12,058.77x = 209,369,525.06
  5. Step 5: Solve for x
    x = 209,369,525.06/12,058.77
  6. Step 6: Final answer
    x = 17,362.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.