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Finding the Fourth Proportional to 23,029.68, 34,499.16 and 21,409.68

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Solution

The fourth proportional to 23,029.68, 34,499.16 and 21,409.68 is: 32,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.68 : 34,499.16 = 21,409.68 : x
  2. Step 2: Convert to fraction form
    23,029.68/34,499.16 = 21,409.68/x
  3. Step 3: Cross multiply
    23,029.68x = 34,499.16 × 21,409.68
  4. Step 4: Simplify right side
    23,029.68x = 738,615,975.87
  5. Step 5: Solve for x
    x = 738,615,975.87/23,029.68
  6. Step 6: Final answer
    x = 32,072.35

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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.