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Finding the Fourth Proportional to 23,707.53, 32,713.61 and 13,096.53

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Solution

The fourth proportional to 23,707.53, 32,713.61 and 13,096.53 is: 18,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.53 : 32,713.61 = 13,096.53 : x
  2. Step 2: Convert to fraction form
    23,707.53/32,713.61 = 13,096.53/x
  3. Step 3: Cross multiply
    23,707.53x = 32,713.61 × 13,096.53
  4. Step 4: Simplify right side
    23,707.53x = 428,434,709.29
  5. Step 5: Solve for x
    x = 428,434,709.29/23,707.53
  6. Step 6: Final answer
    x = 18,071.67

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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.