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Finding the Fourth Proportional to 21,407.40, 32,111.10 and 13,534.20

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Solution

The fourth proportional to 21,407.40, 32,111.10 and 13,534.20 is: 20,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.40 : 32,111.10 = 13,534.20 : x
  2. Step 2: Convert to fraction form
    21,407.40/32,111.10 = 13,534.20/x
  3. Step 3: Cross multiply
    21,407.40x = 32,111.10 × 13,534.20
  4. Step 4: Simplify right side
    21,407.40x = 434,598,049.62
  5. Step 5: Solve for x
    x = 434,598,049.62/21,407.40
  6. Step 6: Final answer
    x = 20,301.30

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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.