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Finding the Fourth Proportional to 14,012.64, 19,337.09 and 7,724.88

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Solution

The fourth proportional to 14,012.64, 19,337.09 and 7,724.88 is: 10,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.64 : 19,337.09 = 7,724.88 : x
  2. Step 2: Convert to fraction form
    14,012.64/19,337.09 = 7,724.88/x
  3. Step 3: Cross multiply
    14,012.64x = 19,337.09 × 7,724.88
  4. Step 4: Simplify right side
    14,012.64x = 149,376,699.80
  5. Step 5: Solve for x
    x = 149,376,699.80/14,012.64
  6. Step 6: Final answer
    x = 10,660.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.