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Finding the Fourth Proportional to 18,529.50, 25,570.80 and 10,146

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Solution

The fourth proportional to 18,529.50, 25,570.80 and 10,146 is: 14,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.50 : 25,570.80 = 10,146 : x
  2. Step 2: Convert to fraction form
    18,529.50/25,570.80 = 10,146/x
  3. Step 3: Cross multiply
    18,529.50x = 25,570.80 × 10,146
  4. Step 4: Simplify right side
    18,529.50x = 259,441,336.80
  5. Step 5: Solve for x
    x = 259,441,336.80/18,529.50
  6. Step 6: Final answer
    x = 14,001.53

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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.