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Finding the Fourth Proportional to 17,847.64, 24,633.18 and 10,298.84

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Solution

The fourth proportional to 17,847.64, 24,633.18 and 10,298.84 is: 14,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.64 : 24,633.18 = 10,298.84 : x
  2. Step 2: Convert to fraction form
    17,847.64/24,633.18 = 10,298.84/x
  3. Step 3: Cross multiply
    17,847.64x = 24,633.18 × 10,298.84
  4. Step 4: Simplify right side
    17,847.64x = 253,693,179.51
  5. Step 5: Solve for x
    x = 253,693,179.51/17,847.64
  6. Step 6: Final answer
    x = 14,214.38

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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.