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Finding the Fourth Proportional to 19,644.85, 29,457.08 and 9,645.20

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Solution

The fourth proportional to 19,644.85, 29,457.08 and 9,645.20 is: 14,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.85 : 29,457.08 = 9,645.20 : x
  2. Step 2: Convert to fraction form
    19,644.85/29,457.08 = 9,645.20/x
  3. Step 3: Cross multiply
    19,644.85x = 29,457.08 × 9,645.20
  4. Step 4: Simplify right side
    19,644.85x = 284,119,428.02
  5. Step 5: Solve for x
    x = 284,119,428.02/19,644.85
  6. Step 6: Final answer
    x = 14,462.79

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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.