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Finding the Fourth Proportional to 15,840.56, 23,713.50 and 9,581.63

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Solution

The fourth proportional to 15,840.56, 23,713.50 and 9,581.63 is: 14,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.56 : 23,713.50 = 9,581.63 : x
  2. Step 2: Convert to fraction form
    15,840.56/23,713.50 = 9,581.63/x
  3. Step 3: Cross multiply
    15,840.56x = 23,713.50 × 9,581.63
  4. Step 4: Simplify right side
    15,840.56x = 227,213,983.01
  5. Step 5: Solve for x
    x = 227,213,983.01/15,840.56
  6. Step 6: Final answer
    x = 14,343.81

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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.