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Finding the Fourth Proportional to 17,842.08, 24,618.16 and 10,671

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Solution

The fourth proportional to 17,842.08, 24,618.16 and 10,671 is: 14,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.08 : 24,618.16 = 10,671 : x
  2. Step 2: Convert to fraction form
    17,842.08/24,618.16 = 10,671/x
  3. Step 3: Cross multiply
    17,842.08x = 24,618.16 × 10,671
  4. Step 4: Simplify right side
    17,842.08x = 262,700,385.36
  5. Step 5: Solve for x
    x = 262,700,385.36/17,842.08
  6. Step 6: Final answer
    x = 14,723.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.