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Finding the Fourth Proportional to 21,407.21, 32,102.84 and 7,363.29

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Solution

The fourth proportional to 21,407.21, 32,102.84 and 7,363.29 is: 11,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.21 : 32,102.84 = 7,363.29 : x
  2. Step 2: Convert to fraction form
    21,407.21/32,102.84 = 7,363.29/x
  3. Step 3: Cross multiply
    21,407.21x = 32,102.84 × 7,363.29
  4. Step 4: Simplify right side
    21,407.21x = 236,382,520.74
  5. Step 5: Solve for x
    x = 236,382,520.74/21,407.21
  6. Step 6: Final answer
    x = 11,042.19

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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.