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Finding the Fourth Proportional to 15,965.12, 22,030.82 and 9,250.20

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Solution

The fourth proportional to 15,965.12, 22,030.82 and 9,250.20 is: 12,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.12 : 22,030.82 = 9,250.20 : x
  2. Step 2: Convert to fraction form
    15,965.12/22,030.82 = 9,250.20/x
  3. Step 3: Cross multiply
    15,965.12x = 22,030.82 × 9,250.20
  4. Step 4: Simplify right side
    15,965.12x = 203,789,491.16
  5. Step 5: Solve for x
    x = 203,789,491.16/15,965.12
  6. Step 6: Final answer
    x = 12,764.67

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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.