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Finding the Fourth Proportional to 15,821, 21,833.36 and 10,241.72

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Solution

The fourth proportional to 15,821, 21,833.36 and 10,241.72 is: 14,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821 : 21,833.36 = 10,241.72 : x
  2. Step 2: Convert to fraction form
    15,821/21,833.36 = 10,241.72/x
  3. Step 3: Cross multiply
    15,821x = 21,833.36 × 10,241.72
  4. Step 4: Simplify right side
    15,821x = 223,611,159.78
  5. Step 5: Solve for x
    x = 223,611,159.78/15,821
  6. Step 6: Final answer
    x = 14,133.82

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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.