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Finding the Fourth Proportional to 21,419.10, 32,129.91 and 8,271.54

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Solution

The fourth proportional to 21,419.10, 32,129.91 and 8,271.54 is: 12,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.10 : 32,129.91 = 8,271.54 : x
  2. Step 2: Convert to fraction form
    21,419.10/32,129.91 = 8,271.54/x
  3. Step 3: Cross multiply
    21,419.10x = 32,129.91 × 8,271.54
  4. Step 4: Simplify right side
    21,419.10x = 265,763,835.76
  5. Step 5: Solve for x
    x = 265,763,835.76/21,419.10
  6. Step 6: Final answer
    x = 12,407.80

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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.