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Finding the Fourth Proportional to 21,964.84, 30,313.65 and 12,534.82

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Solution

The fourth proportional to 21,964.84, 30,313.65 and 12,534.82 is: 17,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.84 : 30,313.65 = 12,534.82 : x
  2. Step 2: Convert to fraction form
    21,964.84/30,313.65 = 12,534.82/x
  3. Step 3: Cross multiply
    21,964.84x = 30,313.65 × 12,534.82
  4. Step 4: Simplify right side
    21,964.84x = 379,976,146.29
  5. Step 5: Solve for x
    x = 379,976,146.29/21,964.84
  6. Step 6: Final answer
    x = 17,299.29

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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.