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Finding the Fourth Proportional to 14,313.84, 21,476.92 and 6,923.82

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Solution

The fourth proportional to 14,313.84, 21,476.92 and 6,923.82 is: 10,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.84 : 21,476.92 = 6,923.82 : x
  2. Step 2: Convert to fraction form
    14,313.84/21,476.92 = 6,923.82/x
  3. Step 3: Cross multiply
    14,313.84x = 21,476.92 × 6,923.82
  4. Step 4: Simplify right side
    14,313.84x = 148,702,328.23
  5. Step 5: Solve for x
    x = 148,702,328.23/14,313.84
  6. Step 6: Final answer
    x = 10,388.71

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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.