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Finding the Fourth Proportional to 15,823.59, 23,738.99 and 8,424.15

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Solution

The fourth proportional to 15,823.59, 23,738.99 and 8,424.15 is: 12,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.59 : 23,738.99 = 8,424.15 : x
  2. Step 2: Convert to fraction form
    15,823.59/23,738.99 = 8,424.15/x
  3. Step 3: Cross multiply
    15,823.59x = 23,738.99 × 8,424.15
  4. Step 4: Simplify right side
    15,823.59x = 199,980,770.49
  5. Step 5: Solve for x
    x = 199,980,770.49/15,823.59
  6. Step 6: Final answer
    x = 12,638.14

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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.