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Finding the Fourth Proportional to 15,828, 21,827.76 and 11,373.84

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Solution

The fourth proportional to 15,828, 21,827.76 and 11,373.84 is: 15,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828 : 21,827.76 = 11,373.84 : x
  2. Step 2: Convert to fraction form
    15,828/21,827.76 = 11,373.84/x
  3. Step 3: Cross multiply
    15,828x = 21,827.76 × 11,373.84
  4. Step 4: Simplify right side
    15,828x = 248,265,449.80
  5. Step 5: Solve for x
    x = 248,265,449.80/15,828
  6. Step 6: Final answer
    x = 15,685.21

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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.