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Finding the Fourth Proportional to 23,009.76, 34,515.07 and 7,214.44

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Solution

The fourth proportional to 23,009.76, 34,515.07 and 7,214.44 is: 10,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.76 : 34,515.07 = 7,214.44 : x
  2. Step 2: Convert to fraction form
    23,009.76/34,515.07 = 7,214.44/x
  3. Step 3: Cross multiply
    23,009.76x = 34,515.07 × 7,214.44
  4. Step 4: Simplify right side
    23,009.76x = 249,007,009.80
  5. Step 5: Solve for x
    x = 249,007,009.80/23,009.76
  6. Step 6: Final answer
    x = 10,821.80

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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.