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Finding the Fourth Proportional to 12,100.32, 16,700.40 and 8,320.32

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Solution

The fourth proportional to 12,100.32, 16,700.40 and 8,320.32 is: 11,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.32 : 16,700.40 = 8,320.32 : x
  2. Step 2: Convert to fraction form
    12,100.32/16,700.40 = 8,320.32/x
  3. Step 3: Cross multiply
    12,100.32x = 16,700.40 × 8,320.32
  4. Step 4: Simplify right side
    12,100.32x = 138,952,672.13
  5. Step 5: Solve for x
    x = 138,952,672.13/12,100.32
  6. Step 6: Final answer
    x = 11,483.39

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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.