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Finding the Fourth Proportional to 24,764.00, 37,152 and 14,240.75

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Solution

The fourth proportional to 24,764.00, 37,152 and 14,240.75 is: 21,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764.00 : 37,152 = 14,240.75 : x
  2. Step 2: Convert to fraction form
    24,764.00/37,152 = 14,240.75/x
  3. Step 3: Cross multiply
    24,764.00x = 37,152 × 14,240.75
  4. Step 4: Simplify right side
    24,764.00x = 529,072,158.24
  5. Step 5: Solve for x
    x = 529,072,158.24/24,764.00
  6. Step 6: Final answer
    x = 21,364.57

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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.