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Finding the Fourth Proportional to 17,782.54, 26,675.33 and 5,301.75

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Solution

The fourth proportional to 17,782.54, 26,675.33 and 5,301.75 is: 7,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.54 : 26,675.33 = 5,301.75 : x
  2. Step 2: Convert to fraction form
    17,782.54/26,675.33 = 5,301.75/x
  3. Step 3: Cross multiply
    17,782.54x = 26,675.33 × 5,301.75
  4. Step 4: Simplify right side
    17,782.54x = 141,426,004.35
  5. Step 5: Solve for x
    x = 141,426,004.35/17,782.54
  6. Step 6: Final answer
    x = 7,953.08

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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.