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Finding the Fourth Proportional to 14,461.10, 21,709.20 and 9,196.10

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Solution

The fourth proportional to 14,461.10, 21,709.20 and 9,196.10 is: 13,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.10 : 21,709.20 = 9,196.10 : x
  2. Step 2: Convert to fraction form
    14,461.10/21,709.20 = 9,196.10/x
  3. Step 3: Cross multiply
    14,461.10x = 21,709.20 × 9,196.10
  4. Step 4: Simplify right side
    14,461.10x = 199,639,974.12
  5. Step 5: Solve for x
    x = 199,639,974.12/14,461.10
  6. Step 6: Final answer
    x = 13,805.31

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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.