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Finding the Fourth Proportional to 23,506.85, 35,253.25 and 12,407.42

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Solution

The fourth proportional to 23,506.85, 35,253.25 and 12,407.42 is: 18,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.85 : 35,253.25 = 12,407.42 : x
  2. Step 2: Convert to fraction form
    23,506.85/35,253.25 = 12,407.42/x
  3. Step 3: Cross multiply
    23,506.85x = 35,253.25 × 12,407.42
  4. Step 4: Simplify right side
    23,506.85x = 437,401,879.12
  5. Step 5: Solve for x
    x = 437,401,879.12/23,506.85
  6. Step 6: Final answer
    x = 18,607.42

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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.