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Finding the Fourth Proportional to 18,971.94, 28,459.28 and 7,285.16

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Solution

The fourth proportional to 18,971.94, 28,459.28 and 7,285.16 is: 10,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.94 : 28,459.28 = 7,285.16 : x
  2. Step 2: Convert to fraction form
    18,971.94/28,459.28 = 7,285.16/x
  3. Step 3: Cross multiply
    18,971.94x = 28,459.28 × 7,285.16
  4. Step 4: Simplify right side
    18,971.94x = 207,330,497.65
  5. Step 5: Solve for x
    x = 207,330,497.65/18,971.94
  6. Step 6: Final answer
    x = 10,928.27

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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.