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Finding the Fourth Proportional to 24,312.75, 36,480.11 and 13,924.50

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Solution

The fourth proportional to 24,312.75, 36,480.11 and 13,924.50 is: 20,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.75 : 36,480.11 = 13,924.50 : x
  2. Step 2: Convert to fraction form
    24,312.75/36,480.11 = 13,924.50/x
  3. Step 3: Cross multiply
    24,312.75x = 36,480.11 × 13,924.50
  4. Step 4: Simplify right side
    24,312.75x = 507,967,222.07
  5. Step 5: Solve for x
    x = 507,967,222.07/24,312.75
  6. Step 6: Final answer
    x = 20,893.04

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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.