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Finding the Fourth Proportional to 17,243.68, 25,876.86 and 9,457.96

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Solution

The fourth proportional to 17,243.68, 25,876.86 and 9,457.96 is: 14,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243.68 : 25,876.86 = 9,457.96 : x
  2. Step 2: Convert to fraction form
    17,243.68/25,876.86 = 9,457.96/x
  3. Step 3: Cross multiply
    17,243.68x = 25,876.86 × 9,457.96
  4. Step 4: Simplify right side
    17,243.68x = 244,742,306.81
  5. Step 5: Solve for x
    x = 244,742,306.81/17,243.68
  6. Step 6: Final answer
    x = 14,193.16

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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.