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Finding the Fourth Proportional to 24,784.44, 34,203.84 and 15,824.76

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Solution

The fourth proportional to 24,784.44, 34,203.84 and 15,824.76 is: 21,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.44 : 34,203.84 = 15,824.76 : x
  2. Step 2: Convert to fraction form
    24,784.44/34,203.84 = 15,824.76/x
  3. Step 3: Cross multiply
    24,784.44x = 34,203.84 × 15,824.76
  4. Step 4: Simplify right side
    24,784.44x = 541,267,559.08
  5. Step 5: Solve for x
    x = 541,267,559.08/24,784.44
  6. Step 6: Final answer
    x = 21,839.01

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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.