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Finding the Fourth Proportional to 28,381.20, 39,165 and 15,805.68

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Solution

The fourth proportional to 28,381.20, 39,165 and 15,805.68 is: 21,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,381.20 : 39,165 = 15,805.68 : x
  2. Step 2: Convert to fraction form
    28,381.20/39,165 = 15,805.68/x
  3. Step 3: Cross multiply
    28,381.20x = 39,165 × 15,805.68
  4. Step 4: Simplify right side
    28,381.20x = 619,029,457.20
  5. Step 5: Solve for x
    x = 619,029,457.20/28,381.20
  6. Step 6: Final answer
    x = 21,811.25

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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.