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Finding the Fourth Proportional to 21,782.68, 32,659.68 and 14,364.52

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Solution

The fourth proportional to 21,782.68, 32,659.68 and 14,364.52 is: 21,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.68 : 32,659.68 = 14,364.52 : x
  2. Step 2: Convert to fraction form
    21,782.68/32,659.68 = 14,364.52/x
  3. Step 3: Cross multiply
    21,782.68x = 32,659.68 × 14,364.52
  4. Step 4: Simplify right side
    21,782.68x = 469,140,626.55
  5. Step 5: Solve for x
    x = 469,140,626.55/21,782.68
  6. Step 6: Final answer
    x = 21,537.32

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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.