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Finding the Fourth Proportional to 15,630.24, 23,454.96 and 6,396

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Solution

The fourth proportional to 15,630.24, 23,454.96 and 6,396 is: 9,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630.24 : 23,454.96 = 6,396 : x
  2. Step 2: Convert to fraction form
    15,630.24/23,454.96 = 6,396/x
  3. Step 3: Cross multiply
    15,630.24x = 23,454.96 × 6,396
  4. Step 4: Simplify right side
    15,630.24x = 150,017,924.16
  5. Step 5: Solve for x
    x = 150,017,924.16/15,630.24
  6. Step 6: Final answer
    x = 9,597.93

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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.