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Finding the Fourth Proportional to 23,312.43, 34,983.23 and 9,461.43

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Solution

The fourth proportional to 23,312.43, 34,983.23 and 9,461.43 is: 14,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.43 : 34,983.23 = 9,461.43 : x
  2. Step 2: Convert to fraction form
    23,312.43/34,983.23 = 9,461.43/x
  3. Step 3: Cross multiply
    23,312.43x = 34,983.23 × 9,461.43
  4. Step 4: Simplify right side
    23,312.43x = 330,991,334.51
  5. Step 5: Solve for x
    x = 330,991,334.51/23,312.43
  6. Step 6: Final answer
    x = 14,198.06

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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.