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Finding the Fourth Proportional to 23,510.56, 32,443.68 and 13,438.48

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Solution

The fourth proportional to 23,510.56, 32,443.68 and 13,438.48 is: 18,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510.56 : 32,443.68 = 13,438.48 : x
  2. Step 2: Convert to fraction form
    23,510.56/32,443.68 = 13,438.48/x
  3. Step 3: Cross multiply
    23,510.56x = 32,443.68 × 13,438.48
  4. Step 4: Simplify right side
    23,510.56x = 435,993,744.81
  5. Step 5: Solve for x
    x = 435,993,744.81/23,510.56
  6. Step 6: Final answer
    x = 18,544.59

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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.