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Finding the Fourth Proportional to 18,460.46, 27,695.10 and 5,980.50

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Solution

The fourth proportional to 18,460.46, 27,695.10 and 5,980.50 is: 8,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.46 : 27,695.10 = 5,980.50 : x
  2. Step 2: Convert to fraction form
    18,460.46/27,695.10 = 5,980.50/x
  3. Step 3: Cross multiply
    18,460.46x = 27,695.10 × 5,980.50
  4. Step 4: Simplify right side
    18,460.46x = 165,630,545.55
  5. Step 5: Solve for x
    x = 165,630,545.55/18,460.46
  6. Step 6: Final answer
    x = 8,972.18

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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.