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Finding the Fourth Proportional to 12,830.32, 19,247.82 and 4,507.84

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Solution

The fourth proportional to 12,830.32, 19,247.82 and 4,507.84 is: 6,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.32 : 19,247.82 = 4,507.84 : x
  2. Step 2: Convert to fraction form
    12,830.32/19,247.82 = 4,507.84/x
  3. Step 3: Cross multiply
    12,830.32x = 19,247.82 × 4,507.84
  4. Step 4: Simplify right side
    12,830.32x = 86,766,092.91
  5. Step 5: Solve for x
    x = 86,766,092.91/12,830.32
  6. Step 6: Final answer
    x = 6,762.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.