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Finding the Fourth Proportional to 17,852.22, 26,782.29 and 9,527.85

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Solution

The fourth proportional to 17,852.22, 26,782.29 and 9,527.85 is: 14,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.22 : 26,782.29 = 9,527.85 : x
  2. Step 2: Convert to fraction form
    17,852.22/26,782.29 = 9,527.85/x
  3. Step 3: Cross multiply
    17,852.22x = 26,782.29 × 9,527.85
  4. Step 4: Simplify right side
    17,852.22x = 255,177,641.78
  5. Step 5: Solve for x
    x = 255,177,641.78/17,852.22
  6. Step 6: Final answer
    x = 14,293.89

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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.