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Finding the Fourth Proportional to 21,407.10, 32,147.10 and 14,044.20

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Solution

The fourth proportional to 21,407.10, 32,147.10 and 14,044.20 is: 21,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.10 : 32,147.10 = 14,044.20 : x
  2. Step 2: Convert to fraction form
    21,407.10/32,147.10 = 14,044.20/x
  3. Step 3: Cross multiply
    21,407.10x = 32,147.10 × 14,044.20
  4. Step 4: Simplify right side
    21,407.10x = 451,480,301.82
  5. Step 5: Solve for x
    x = 451,480,301.82/21,407.10
  6. Step 6: Final answer
    x = 21,090.21

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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.