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Finding the Fourth Proportional to 12,965.13, 19,446.89 and 6,385.50

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Solution

The fourth proportional to 12,965.13, 19,446.89 and 6,385.50 is: 9,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.13 : 19,446.89 = 6,385.50 : x
  2. Step 2: Convert to fraction form
    12,965.13/19,446.89 = 6,385.50/x
  3. Step 3: Cross multiply
    12,965.13x = 19,446.89 × 6,385.50
  4. Step 4: Simplify right side
    12,965.13x = 124,178,084.17
  5. Step 5: Solve for x
    x = 124,178,084.17/12,965.13
  6. Step 6: Final answer
    x = 9,577.85

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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.