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Finding the Fourth Proportional to 24,343.63, 36,525.87 and 7,705.01

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Solution

The fourth proportional to 24,343.63, 36,525.87 and 7,705.01 is: 11,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.63 : 36,525.87 = 7,705.01 : x
  2. Step 2: Convert to fraction form
    24,343.63/36,525.87 = 7,705.01/x
  3. Step 3: Cross multiply
    24,343.63x = 36,525.87 × 7,705.01
  4. Step 4: Simplify right side
    24,343.63x = 281,432,284.92
  5. Step 5: Solve for x
    x = 281,432,284.92/24,343.63
  6. Step 6: Final answer
    x = 11,560.82

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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.