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Finding the Fourth Proportional to 19,688.40, 29,532.60 and 7,214.40

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Solution

The fourth proportional to 19,688.40, 29,532.60 and 7,214.40 is: 10,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.40 : 29,532.60 = 7,214.40 : x
  2. Step 2: Convert to fraction form
    19,688.40/29,532.60 = 7,214.40/x
  3. Step 3: Cross multiply
    19,688.40x = 29,532.60 × 7,214.40
  4. Step 4: Simplify right side
    19,688.40x = 213,059,989.44
  5. Step 5: Solve for x
    x = 213,059,989.44/19,688.40
  6. Step 6: Final answer
    x = 10,821.60

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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.