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Finding the Fourth Proportional to 21,642.90, 32,476.59 and 11,782.86

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Solution

The fourth proportional to 21,642.90, 32,476.59 and 11,782.86 is: 17,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.90 : 32,476.59 = 11,782.86 : x
  2. Step 2: Convert to fraction form
    21,642.90/32,476.59 = 11,782.86/x
  3. Step 3: Cross multiply
    21,642.90x = 32,476.59 × 11,782.86
  4. Step 4: Simplify right side
    21,642.90x = 382,667,113.25
  5. Step 5: Solve for x
    x = 382,667,113.25/21,642.90
  6. Step 6: Final answer
    x = 17,680.95

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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.