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Finding the Fourth Proportional to 18,971.84, 28,475.24 and 9,618.50

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Solution

The fourth proportional to 18,971.84, 28,475.24 and 9,618.50 is: 14,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.84 : 28,475.24 = 9,618.50 : x
  2. Step 2: Convert to fraction form
    18,971.84/28,475.24 = 9,618.50/x
  3. Step 3: Cross multiply
    18,971.84x = 28,475.24 × 9,618.50
  4. Step 4: Simplify right side
    18,971.84x = 273,889,095.94
  5. Step 5: Solve for x
    x = 273,889,095.94/18,971.84
  6. Step 6: Final answer
    x = 14,436.61

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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.