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Finding the Fourth Proportional to 17,116.50, 25,675.68 and 5,430.66

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Solution

The fourth proportional to 17,116.50, 25,675.68 and 5,430.66 is: 8,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.50 : 25,675.68 = 5,430.66 : x
  2. Step 2: Convert to fraction form
    17,116.50/25,675.68 = 5,430.66/x
  3. Step 3: Cross multiply
    17,116.50x = 25,675.68 × 5,430.66
  4. Step 4: Simplify right side
    17,116.50x = 139,435,888.35
  5. Step 5: Solve for x
    x = 139,435,888.35/17,116.50
  6. Step 6: Final answer
    x = 8,146.29

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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.