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Finding the Fourth Proportional to 14,011.81, 19,335.12 and 7,724.17

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Solution

The fourth proportional to 14,011.81, 19,335.12 and 7,724.17 is: 10,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.81 : 19,335.12 = 7,724.17 : x
  2. Step 2: Convert to fraction form
    14,011.81/19,335.12 = 7,724.17/x
  3. Step 3: Cross multiply
    14,011.81x = 19,335.12 × 7,724.17
  4. Step 4: Simplify right side
    14,011.81x = 149,347,753.85
  5. Step 5: Solve for x
    x = 149,347,753.85/14,011.81
  6. Step 6: Final answer
    x = 10,658.71

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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.