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Finding the Fourth Proportional to 15,405.68, 23,106.74 and 4,313.24

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Solution

The fourth proportional to 15,405.68, 23,106.74 and 4,313.24 is: 6,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.68 : 23,106.74 = 4,313.24 : x
  2. Step 2: Convert to fraction form
    15,405.68/23,106.74 = 4,313.24/x
  3. Step 3: Cross multiply
    15,405.68x = 23,106.74 × 4,313.24
  4. Step 4: Simplify right side
    15,405.68x = 99,664,915.24
  5. Step 5: Solve for x
    x = 99,664,915.24/15,405.68
  6. Step 6: Final answer
    x = 6,469.36

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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.