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Finding the Fourth Proportional to 21,782.51, 32,675.72 and 8,455.19

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Solution

The fourth proportional to 21,782.51, 32,675.72 and 8,455.19 is: 12,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.51 : 32,675.72 = 8,455.19 : x
  2. Step 2: Convert to fraction form
    21,782.51/32,675.72 = 8,455.19/x
  3. Step 3: Cross multiply
    21,782.51x = 32,675.72 × 8,455.19
  4. Step 4: Simplify right side
    21,782.51x = 276,279,460.40
  5. Step 5: Solve for x
    x = 276,279,460.40/21,782.51
  6. Step 6: Final answer
    x = 12,683.54

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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.