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Finding the Fourth Proportional to 15,900.48, 23,852.64 and 4,213.92

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Solution

The fourth proportional to 15,900.48, 23,852.64 and 4,213.92 is: 6,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.48 : 23,852.64 = 4,213.92 : x
  2. Step 2: Convert to fraction form
    15,900.48/23,852.64 = 4,213.92/x
  3. Step 3: Cross multiply
    15,900.48x = 23,852.64 × 4,213.92
  4. Step 4: Simplify right side
    15,900.48x = 100,513,116.75
  5. Step 5: Solve for x
    x = 100,513,116.75/15,900.48
  6. Step 6: Final answer
    x = 6,321.39

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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.