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Finding the Fourth Proportional to 21,782.26, 32,630.58 and 14,364.10

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Solution

The fourth proportional to 21,782.26, 32,630.58 and 14,364.10 is: 21,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.26 : 32,630.58 = 14,364.10 : x
  2. Step 2: Convert to fraction form
    21,782.26/32,630.58 = 14,364.10/x
  3. Step 3: Cross multiply
    21,782.26x = 32,630.58 × 14,364.10
  4. Step 4: Simplify right side
    21,782.26x = 468,708,914.18
  5. Step 5: Solve for x
    x = 468,708,914.18/21,782.26
  6. Step 6: Final answer
    x = 21,517.92

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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.