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Finding the Fourth Proportional to 13,204.88, 19,807.32 and 8,012.24

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Solution

The fourth proportional to 13,204.88, 19,807.32 and 8,012.24 is: 12,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.88 : 19,807.32 = 8,012.24 : x
  2. Step 2: Convert to fraction form
    13,204.88/19,807.32 = 8,012.24/x
  3. Step 3: Cross multiply
    13,204.88x = 19,807.32 × 8,012.24
  4. Step 4: Simplify right side
    13,204.88x = 158,701,001.60
  5. Step 5: Solve for x
    x = 158,701,001.60/13,204.88
  6. Step 6: Final answer
    x = 12,018.36

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1.5x scale

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.