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Finding the Fourth Proportional to 12,485.64, 18,712.88 and 8,031.46

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Solution

The fourth proportional to 12,485.64, 18,712.88 and 8,031.46 is: 12,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.64 : 18,712.88 = 8,031.46 : x
  2. Step 2: Convert to fraction form
    12,485.64/18,712.88 = 8,031.46/x
  3. Step 3: Cross multiply
    12,485.64x = 18,712.88 × 8,031.46
  4. Step 4: Simplify right side
    12,485.64x = 150,291,747.20
  5. Step 5: Solve for x
    x = 150,291,747.20/12,485.64
  6. Step 6: Final answer
    x = 12,037.17

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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.