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Finding the Fourth Proportional to 23,101.89, 34,655.04 and 6,461.94

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Solution

The fourth proportional to 23,101.89, 34,655.04 and 6,461.94 is: 9,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.89 : 34,655.04 = 6,461.94 : x
  2. Step 2: Convert to fraction form
    23,101.89/34,655.04 = 6,461.94/x
  3. Step 3: Cross multiply
    23,101.89x = 34,655.04 × 6,461.94
  4. Step 4: Simplify right side
    23,101.89x = 223,938,789.18
  5. Step 5: Solve for x
    x = 223,938,789.18/23,101.89
  6. Step 6: Final answer
    x = 9,693.53

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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.