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Finding the Fourth Proportional to 17,154.08, 23,676 and 10,862

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Solution

The fourth proportional to 17,154.08, 23,676 and 10,862 is: 14,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.08 : 23,676 = 10,862 : x
  2. Step 2: Convert to fraction form
    17,154.08/23,676 = 10,862/x
  3. Step 3: Cross multiply
    17,154.08x = 23,676 × 10,862
  4. Step 4: Simplify right side
    17,154.08x = 257,168,712
  5. Step 5: Solve for x
    x = 257,168,712/17,154.08
  6. Step 6: Final answer
    x = 14,991.69

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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.