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Finding the Fourth Proportional to 23,651.40, 35,477.10 and 13,116.42

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Solution

The fourth proportional to 23,651.40, 35,477.10 and 13,116.42 is: 19,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.40 : 35,477.10 = 13,116.42 : x
  2. Step 2: Convert to fraction form
    23,651.40/35,477.10 = 13,116.42/x
  3. Step 3: Cross multiply
    23,651.40x = 35,477.10 × 13,116.42
  4. Step 4: Simplify right side
    23,651.40x = 465,332,543.98
  5. Step 5: Solve for x
    x = 465,332,543.98/23,651.40
  6. Step 6: Final answer
    x = 19,674.63

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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.