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Finding the Fourth Proportional to 12,822.30, 19,201.05 and 10,230.30

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Solution

The fourth proportional to 12,822.30, 19,201.05 and 10,230.30 is: 15,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.30 : 19,201.05 = 10,230.30 : x
  2. Step 2: Convert to fraction form
    12,822.30/19,201.05 = 10,230.30/x
  3. Step 3: Cross multiply
    12,822.30x = 19,201.05 × 10,230.30
  4. Step 4: Simplify right side
    12,822.30x = 196,432,501.82
  5. Step 5: Solve for x
    x = 196,432,501.82/12,822.30
  6. Step 6: Final answer
    x = 15,319.60

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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.