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Finding the Fourth Proportional to 17,457, 26,190.54 and 5,145

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Solution

The fourth proportional to 17,457, 26,190.54 and 5,145 is: 7,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457 : 26,190.54 = 5,145 : x
  2. Step 2: Convert to fraction form
    17,457/26,190.54 = 5,145/x
  3. Step 3: Cross multiply
    17,457x = 26,190.54 × 5,145
  4. Step 4: Simplify right side
    17,457x = 134,750,328.30
  5. Step 5: Solve for x
    x = 134,750,328.30/17,457
  6. Step 6: Final answer
    x = 7,718.99

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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.