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Finding the Fourth Proportional to 24,278.40, 36,344.70 and 14,412.60

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Solution

The fourth proportional to 24,278.40, 36,344.70 and 14,412.60 is: 21,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.40 : 36,344.70 = 14,412.60 : x
  2. Step 2: Convert to fraction form
    24,278.40/36,344.70 = 14,412.60/x
  3. Step 3: Cross multiply
    24,278.40x = 36,344.70 × 14,412.60
  4. Step 4: Simplify right side
    24,278.40x = 523,821,623.22
  5. Step 5: Solve for x
    x = 523,821,623.22/24,278.40
  6. Step 6: Final answer
    x = 21,575.62

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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.