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Finding the Fourth Proportional to 16,537.65, 24,809.89 and 5,445

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Solution

The fourth proportional to 16,537.65, 24,809.89 and 5,445 is: 8,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.65 : 24,809.89 = 5,445 : x
  2. Step 2: Convert to fraction form
    16,537.65/24,809.89 = 5,445/x
  3. Step 3: Cross multiply
    16,537.65x = 24,809.89 × 5,445
  4. Step 4: Simplify right side
    16,537.65x = 135,089,851.05
  5. Step 5: Solve for x
    x = 135,089,851.05/16,537.65
  6. Step 6: Final answer
    x = 8,168.62

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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.