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Finding the Fourth Proportional to 21,407.16, 32,102.74 and 7,363.21

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Solution

The fourth proportional to 21,407.16, 32,102.74 and 7,363.21 is: 11,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.16 : 32,102.74 = 7,363.21 : x
  2. Step 2: Convert to fraction form
    21,407.16/32,102.74 = 7,363.21/x
  3. Step 3: Cross multiply
    21,407.16x = 32,102.74 × 7,363.21
  4. Step 4: Simplify right side
    21,407.16x = 236,379,216.20
  5. Step 5: Solve for x
    x = 236,379,216.20/21,407.16
  6. Step 6: Final answer
    x = 11,042.06

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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.