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Finding the Fourth Proportional to 21,955.69, 32,930.18 and 7,164.60

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Solution

The fourth proportional to 21,955.69, 32,930.18 and 7,164.60 is: 10,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.69 : 32,930.18 = 7,164.60 : x
  2. Step 2: Convert to fraction form
    21,955.69/32,930.18 = 7,164.60/x
  3. Step 3: Cross multiply
    21,955.69x = 32,930.18 × 7,164.60
  4. Step 4: Simplify right side
    21,955.69x = 235,931,567.63
  5. Step 5: Solve for x
    x = 235,931,567.63/21,955.69
  6. Step 6: Final answer
    x = 10,745.81

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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.