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Finding the Fourth Proportional to 12,532, 18,798.30 and 4,212.12

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Solution

The fourth proportional to 12,532, 18,798.30 and 4,212.12 is: 6,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532 : 18,798.30 = 4,212.12 : x
  2. Step 2: Convert to fraction form
    12,532/18,798.30 = 4,212.12/x
  3. Step 3: Cross multiply
    12,532x = 18,798.30 × 4,212.12
  4. Step 4: Simplify right side
    12,532x = 79,180,695.40
  5. Step 5: Solve for x
    x = 79,180,695.40/12,532
  6. Step 6: Final answer
    x = 6,318.28

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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.