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Finding the Fourth Proportional to 24,294.31, 36,446.50 and 10,254.45

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Solution

The fourth proportional to 24,294.31, 36,446.50 and 10,254.45 is: 15,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.31 : 36,446.50 = 10,254.45 : x
  2. Step 2: Convert to fraction form
    24,294.31/36,446.50 = 10,254.45/x
  3. Step 3: Cross multiply
    24,294.31x = 36,446.50 × 10,254.45
  4. Step 4: Simplify right side
    24,294.31x = 373,738,811.93
  5. Step 5: Solve for x
    x = 373,738,811.93/24,294.31
  6. Step 6: Final answer
    x = 15,383.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.