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Finding the Fourth Proportional to 12,523.20, 17,287.20 and 8,047.20

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Solution

The fourth proportional to 12,523.20, 17,287.20 and 8,047.20 is: 11,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.20 : 17,287.20 = 8,047.20 : x
  2. Step 2: Convert to fraction form
    12,523.20/17,287.20 = 8,047.20/x
  3. Step 3: Cross multiply
    12,523.20x = 17,287.20 × 8,047.20
  4. Step 4: Simplify right side
    12,523.20x = 139,113,555.84
  5. Step 5: Solve for x
    x = 139,113,555.84/12,523.20
  6. Step 6: Final answer
    x = 11,108.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.