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Finding the Fourth Proportional to 12,965.40, 19,451.18 and 4,200.30

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Solution

The fourth proportional to 12,965.40, 19,451.18 and 4,200.30 is: 6,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.40 : 19,451.18 = 4,200.30 : x
  2. Step 2: Convert to fraction form
    12,965.40/19,451.18 = 4,200.30/x
  3. Step 3: Cross multiply
    12,965.40x = 19,451.18 × 4,200.30
  4. Step 4: Simplify right side
    12,965.40x = 81,700,801.85
  5. Step 5: Solve for x
    x = 81,700,801.85/12,965.40
  6. Step 6: Final answer
    x = 6,301.45

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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.