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Finding the Fourth Proportional to 24,448.80, 36,662.40 and 9,652.80

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Solution

The fourth proportional to 24,448.80, 36,662.40 and 9,652.80 is: 14,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.80 : 36,662.40 = 9,652.80 : x
  2. Step 2: Convert to fraction form
    24,448.80/36,662.40 = 9,652.80/x
  3. Step 3: Cross multiply
    24,448.80x = 36,662.40 × 9,652.80
  4. Step 4: Simplify right side
    24,448.80x = 353,894,814.72
  5. Step 5: Solve for x
    x = 353,894,814.72/24,448.80
  6. Step 6: Final answer
    x = 14,474.94

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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.