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Finding the Fourth Proportional to 18,381.98, 25,364.40 and 10,823.88

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Solution

The fourth proportional to 18,381.98, 25,364.40 and 10,823.88 is: 14,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.98 : 25,364.40 = 10,823.88 : x
  2. Step 2: Convert to fraction form
    18,381.98/25,364.40 = 10,823.88/x
  3. Step 3: Cross multiply
    18,381.98x = 25,364.40 × 10,823.88
  4. Step 4: Simplify right side
    18,381.98x = 274,541,221.87
  5. Step 5: Solve for x
    x = 274,541,221.87/18,381.98
  6. Step 6: Final answer
    x = 14,935.35

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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.