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Finding the Fourth Proportional to 23,014.81, 34,522.64 and 7,219.49

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Solution

The fourth proportional to 23,014.81, 34,522.64 and 7,219.49 is: 10,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.81 : 34,522.64 = 7,219.49 : x
  2. Step 2: Convert to fraction form
    23,014.81/34,522.64 = 7,219.49/x
  3. Step 3: Cross multiply
    23,014.81x = 34,522.64 × 7,219.49
  4. Step 4: Simplify right side
    23,014.81x = 249,235,854.25
  5. Step 5: Solve for x
    x = 249,235,854.25/23,014.81
  6. Step 6: Final answer
    x = 10,829.37

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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.