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Finding the Fourth Proportional to 23,638.55, 35,472.61 and 9,598.64

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Solution

The fourth proportional to 23,638.55, 35,472.61 and 9,598.64 is: 14,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.55 : 35,472.61 = 9,598.64 : x
  2. Step 2: Convert to fraction form
    23,638.55/35,472.61 = 9,598.64/x
  3. Step 3: Cross multiply
    23,638.55x = 35,472.61 × 9,598.64
  4. Step 4: Simplify right side
    23,638.55x = 340,488,813.25
  5. Step 5: Solve for x
    x = 340,488,813.25/23,638.55
  6. Step 6: Final answer
    x = 14,403.96

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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.