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Finding the Fourth Proportional to 15,675.71, 23,512.92 and 3,989.22

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Solution

The fourth proportional to 15,675.71, 23,512.92 and 3,989.22 is: 5,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.71 : 23,512.92 = 3,989.22 : x
  2. Step 2: Convert to fraction form
    15,675.71/23,512.92 = 3,989.22/x
  3. Step 3: Cross multiply
    15,675.71x = 23,512.92 × 3,989.22
  4. Step 4: Simplify right side
    15,675.71x = 93,798,210.72
  5. Step 5: Solve for x
    x = 93,798,210.72/15,675.71
  6. Step 6: Final answer
    x = 5,983.67

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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.