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Finding the Fourth Proportional to 12,782.40, 19,158.30 and 7,519.92

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Solution

The fourth proportional to 12,782.40, 19,158.30 and 7,519.92 is: 11,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.40 : 19,158.30 = 7,519.92 : x
  2. Step 2: Convert to fraction form
    12,782.40/19,158.30 = 7,519.92/x
  3. Step 3: Cross multiply
    12,782.40x = 19,158.30 × 7,519.92
  4. Step 4: Simplify right side
    12,782.40x = 144,068,883.34
  5. Step 5: Solve for x
    x = 144,068,883.34/12,782.40
  6. Step 6: Final answer
    x = 11,270.88

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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.