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Finding the Fourth Proportional to 21,965.34, 30,314.34 and 12,535.32

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Solution

The fourth proportional to 21,965.34, 30,314.34 and 12,535.32 is: 17,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.34 : 30,314.34 = 12,535.32 : x
  2. Step 2: Convert to fraction form
    21,965.34/30,314.34 = 12,535.32/x
  3. Step 3: Cross multiply
    21,965.34x = 30,314.34 × 12,535.32
  4. Step 4: Simplify right side
    21,965.34x = 379,999,952.49
  5. Step 5: Solve for x
    x = 379,999,952.49/21,965.34
  6. Step 6: Final answer
    x = 17,299.98

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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.