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Finding the Fourth Proportional to 24,544.34, 36,822.64 and 7,014.32

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Solution

The fourth proportional to 24,544.34, 36,822.64 and 7,014.32 is: 10,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544.34 : 36,822.64 = 7,014.32 : x
  2. Step 2: Convert to fraction form
    24,544.34/36,822.64 = 7,014.32/x
  3. Step 3: Cross multiply
    24,544.34x = 36,822.64 × 7,014.32
  4. Step 4: Simplify right side
    24,544.34x = 258,285,780.20
  5. Step 5: Solve for x
    x = 258,285,780.20/24,544.34
  6. Step 6: Final answer
    x = 10,523.23

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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.