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Finding the Fourth Proportional to 12,406.16, 18,598.29 and 4,609.50

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Solution

The fourth proportional to 12,406.16, 18,598.29 and 4,609.50 is: 6,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.16 : 18,598.29 = 4,609.50 : x
  2. Step 2: Convert to fraction form
    12,406.16/18,598.29 = 4,609.50/x
  3. Step 3: Cross multiply
    12,406.16x = 18,598.29 × 4,609.50
  4. Step 4: Simplify right side
    12,406.16x = 85,728,817.76
  5. Step 5: Solve for x
    x = 85,728,817.76/12,406.16
  6. Step 6: Final answer
    x = 6,910.18

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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.