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Finding the Fourth Proportional to 24,525.47, 36,790.23 and 7,656.41

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Solution

The fourth proportional to 24,525.47, 36,790.23 and 7,656.41 is: 11,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525.47 : 36,790.23 = 7,656.41 : x
  2. Step 2: Convert to fraction form
    24,525.47/36,790.23 = 7,656.41/x
  3. Step 3: Cross multiply
    24,525.47x = 36,790.23 × 7,656.41
  4. Step 4: Simplify right side
    24,525.47x = 281,680,900.92
  5. Step 5: Solve for x
    x = 281,680,900.92/24,525.47
  6. Step 6: Final answer
    x = 11,485.24

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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.