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Finding the Fourth Proportional to 17,117.23, 25,675.84 and 6,445.59

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Solution

The fourth proportional to 17,117.23, 25,675.84 and 6,445.59 is: 9,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.23 : 25,675.84 = 6,445.59 : x
  2. Step 2: Convert to fraction form
    17,117.23/25,675.84 = 6,445.59/x
  3. Step 3: Cross multiply
    17,117.23x = 25,675.84 × 6,445.59
  4. Step 4: Simplify right side
    17,117.23x = 165,496,047.83
  5. Step 5: Solve for x
    x = 165,496,047.83/17,117.23
  6. Step 6: Final answer
    x = 9,668.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.