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Finding the Fourth Proportional to 21,316.40, 31,974.36 and 9,621.44

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Solution

The fourth proportional to 21,316.40, 31,974.36 and 9,621.44 is: 14,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.40 : 31,974.36 = 9,621.44 : x
  2. Step 2: Convert to fraction form
    21,316.40/31,974.36 = 9,621.44/x
  3. Step 3: Cross multiply
    21,316.40x = 31,974.36 × 9,621.44
  4. Step 4: Simplify right side
    21,316.40x = 307,639,386.28
  5. Step 5: Solve for x
    x = 307,639,386.28/21,316.40
  6. Step 6: Final answer
    x = 14,432.05

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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.