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Finding the Fourth Proportional to 24,014.63, 36,022.14 and 8,432.25

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Solution

The fourth proportional to 24,014.63, 36,022.14 and 8,432.25 is: 12,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.63 : 36,022.14 = 8,432.25 : x
  2. Step 2: Convert to fraction form
    24,014.63/36,022.14 = 8,432.25/x
  3. Step 3: Cross multiply
    24,014.63x = 36,022.14 × 8,432.25
  4. Step 4: Simplify right side
    24,014.63x = 303,747,690.02
  5. Step 5: Solve for x
    x = 303,747,690.02/24,014.63
  6. Step 6: Final answer
    x = 12,648.45

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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.