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Finding the Fourth Proportional to 28,586.96, 39,446.28 and 16,014

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Solution

The fourth proportional to 28,586.96, 39,446.28 and 16,014 is: 22,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586.96 : 39,446.28 = 16,014 : x
  2. Step 2: Convert to fraction form
    28,586.96/39,446.28 = 16,014/x
  3. Step 3: Cross multiply
    28,586.96x = 39,446.28 × 16,014
  4. Step 4: Simplify right side
    28,586.96x = 631,692,727.92
  5. Step 5: Solve for x
    x = 631,692,727.92/28,586.96
  6. Step 6: Final answer
    x = 22,097.23

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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.