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Finding the Fourth Proportional to 21,461.18, 32,172.17 and 8,303.64

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Solution

The fourth proportional to 21,461.18, 32,172.17 and 8,303.64 is: 12,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.18 : 32,172.17 = 8,303.64 : x
  2. Step 2: Convert to fraction form
    21,461.18/32,172.17 = 8,303.64/x
  3. Step 3: Cross multiply
    21,461.18x = 32,172.17 × 8,303.64
  4. Step 4: Simplify right side
    21,461.18x = 267,146,117.70
  5. Step 5: Solve for x
    x = 267,146,117.70/21,461.18
  6. Step 6: Final answer
    x = 12,447.88

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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.