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Finding the Fourth Proportional to 21,818.26, 32,730.41 and 7,774.14

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Solution

The fourth proportional to 21,818.26, 32,730.41 and 7,774.14 is: 11,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.26 : 32,730.41 = 7,774.14 : x
  2. Step 2: Convert to fraction form
    21,818.26/32,730.41 = 7,774.14/x
  3. Step 3: Cross multiply
    21,818.26x = 32,730.41 × 7,774.14
  4. Step 4: Simplify right side
    21,818.26x = 254,450,931.77
  5. Step 5: Solve for x
    x = 254,450,931.77/21,818.26
  6. Step 6: Final answer
    x = 11,662.29

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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.