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Finding the Fourth Proportional to 16,374.66, 24,541.43 and 7,003.65

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Solution

The fourth proportional to 16,374.66, 24,541.43 and 7,003.65 is: 10,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.66 : 24,541.43 = 7,003.65 : x
  2. Step 2: Convert to fraction form
    16,374.66/24,541.43 = 7,003.65/x
  3. Step 3: Cross multiply
    16,374.66x = 24,541.43 × 7,003.65
  4. Step 4: Simplify right side
    16,374.66x = 171,879,551.20
  5. Step 5: Solve for x
    x = 171,879,551.20/16,374.66
  6. Step 6: Final answer
    x = 10,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.