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Finding the Fourth Proportional to 24,527.34, 36,784.92 and 6,997.32

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Solution

The fourth proportional to 24,527.34, 36,784.92 and 6,997.32 is: 10,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.34 : 36,784.92 = 6,997.32 : x
  2. Step 2: Convert to fraction form
    24,527.34/36,784.92 = 6,997.32/x
  3. Step 3: Cross multiply
    24,527.34x = 36,784.92 × 6,997.32
  4. Step 4: Simplify right side
    24,527.34x = 257,395,856.41
  5. Step 5: Solve for x
    x = 257,395,856.41/24,527.34
  6. Step 6: Final answer
    x = 10,494.24

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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.