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Finding the Fourth Proportional to 13,457.84, 18,561.30 and 8,743.64

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Solution

The fourth proportional to 13,457.84, 18,561.30 and 8,743.64 is: 12,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.84 : 18,561.30 = 8,743.64 : x
  2. Step 2: Convert to fraction form
    13,457.84/18,561.30 = 8,743.64/x
  3. Step 3: Cross multiply
    13,457.84x = 18,561.30 × 8,743.64
  4. Step 4: Simplify right side
    13,457.84x = 162,293,325.13
  5. Step 5: Solve for x
    x = 162,293,325.13/13,457.84
  6. Step 6: Final answer
    x = 12,059.39

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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.