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Finding the Fourth Proportional to 12,609.46, 18,901.86 and 5,220.16

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Solution

The fourth proportional to 12,609.46, 18,901.86 and 5,220.16 is: 7,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.46 : 18,901.86 = 5,220.16 : x
  2. Step 2: Convert to fraction form
    12,609.46/18,901.86 = 5,220.16/x
  3. Step 3: Cross multiply
    12,609.46x = 18,901.86 × 5,220.16
  4. Step 4: Simplify right side
    12,609.46x = 98,670,733.50
  5. Step 5: Solve for x
    x = 98,670,733.50/12,609.46
  6. Step 6: Final answer
    x = 7,825.14

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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.