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Finding the Fourth Proportional to 24,824.70, 37,237.05 and 14,327.10

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Solution

The fourth proportional to 24,824.70, 37,237.05 and 14,327.10 is: 21,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.70 : 37,237.05 = 14,327.10 : x
  2. Step 2: Convert to fraction form
    24,824.70/37,237.05 = 14,327.10/x
  3. Step 3: Cross multiply
    24,824.70x = 37,237.05 × 14,327.10
  4. Step 4: Simplify right side
    24,824.70x = 533,498,939.06
  5. Step 5: Solve for x
    x = 533,498,939.06/24,824.70
  6. Step 6: Final answer
    x = 21,490.65

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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.