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Finding the Fourth Proportional to 12,986.64, 19,475.40 and 4,219.32

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Solution

The fourth proportional to 12,986.64, 19,475.40 and 4,219.32 is: 6,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.64 : 19,475.40 = 4,219.32 : x
  2. Step 2: Convert to fraction form
    12,986.64/19,475.40 = 4,219.32/x
  3. Step 3: Cross multiply
    12,986.64x = 19,475.40 × 4,219.32
  4. Step 4: Simplify right side
    12,986.64x = 82,172,944.73
  5. Step 5: Solve for x
    x = 82,172,944.73/12,986.64
  6. Step 6: Final answer
    x = 6,327.50

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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.