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Finding the Fourth Proportional to 15,236.42, 22,856.43 and 6,466.46

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Solution

The fourth proportional to 15,236.42, 22,856.43 and 6,466.46 is: 9,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,236.42 : 22,856.43 = 6,466.46 : x
  2. Step 2: Convert to fraction form
    15,236.42/22,856.43 = 6,466.46/x
  3. Step 3: Cross multiply
    15,236.42x = 22,856.43 × 6,466.46
  4. Step 4: Simplify right side
    15,236.42x = 147,800,190.34
  5. Step 5: Solve for x
    x = 147,800,190.34/15,236.42
  6. Step 6: Final answer
    x = 9,700.45

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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.