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Finding the Fourth Proportional to 12,965.28, 19,449.28 and 4,644.06

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Solution

The fourth proportional to 12,965.28, 19,449.28 and 4,644.06 is: 6,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.28 : 19,449.28 = 4,644.06 : x
  2. Step 2: Convert to fraction form
    12,965.28/19,449.28 = 4,644.06/x
  3. Step 3: Cross multiply
    12,965.28x = 19,449.28 × 4,644.06
  4. Step 4: Simplify right side
    12,965.28x = 90,323,623.28
  5. Step 5: Solve for x
    x = 90,323,623.28/12,965.28
  6. Step 6: Final answer
    x = 6,966.58

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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.