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Finding the Fourth Proportional to 22,563.70, 33,857.70 and 9,417.40

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Solution

The fourth proportional to 22,563.70, 33,857.70 and 9,417.40 is: 14,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.70 : 33,857.70 = 9,417.40 : x
  2. Step 2: Convert to fraction form
    22,563.70/33,857.70 = 9,417.40/x
  3. Step 3: Cross multiply
    22,563.70x = 33,857.70 × 9,417.40
  4. Step 4: Simplify right side
    22,563.70x = 318,851,503.98
  5. Step 5: Solve for x
    x = 318,851,503.98/22,563.70
  6. Step 6: Final answer
    x = 14,131.17

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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.