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Finding the Fourth Proportional to 24,320.34, 36,496.94 and 9,527.42

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Solution

The fourth proportional to 24,320.34, 36,496.94 and 9,527.42 is: 14,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320.34 : 36,496.94 = 9,527.42 : x
  2. Step 2: Convert to fraction form
    24,320.34/36,496.94 = 9,527.42/x
  3. Step 3: Cross multiply
    24,320.34x = 36,496.94 × 9,527.42
  4. Step 4: Simplify right side
    24,320.34x = 347,721,676.09
  5. Step 5: Solve for x
    x = 347,721,676.09/24,320.34
  6. Step 6: Final answer
    x = 14,297.57

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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.