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Finding the Fourth Proportional to 14,658.69, 20,228.94 and 7,944.51

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Solution

The fourth proportional to 14,658.69, 20,228.94 and 7,944.51 is: 10,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.69 : 20,228.94 = 7,944.51 : x
  2. Step 2: Convert to fraction form
    14,658.69/20,228.94 = 7,944.51/x
  3. Step 3: Cross multiply
    14,658.69x = 20,228.94 × 7,944.51
  4. Step 4: Simplify right side
    14,658.69x = 160,709,016.12
  5. Step 5: Solve for x
    x = 160,709,016.12/14,658.69
  6. Step 6: Final answer
    x = 10,963.40

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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.