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Finding the Fourth Proportional to 15,712.98, 23,583.03 and 8,322.67

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Solution

The fourth proportional to 15,712.98, 23,583.03 and 8,322.67 is: 12,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.98 : 23,583.03 = 8,322.67 : x
  2. Step 2: Convert to fraction form
    15,712.98/23,583.03 = 8,322.67/x
  3. Step 3: Cross multiply
    15,712.98x = 23,583.03 × 8,322.67
  4. Step 4: Simplify right side
    15,712.98x = 196,273,776.29
  5. Step 5: Solve for x
    x = 196,273,776.29/15,712.98
  6. Step 6: Final answer
    x = 12,491.19

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Why These Related Problems?

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