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Finding the Fourth Proportional to 14,909.26, 20,560.64 and 9,795.78

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Solution

The fourth proportional to 14,909.26, 20,560.64 and 9,795.78 is: 13,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.26 : 20,560.64 = 9,795.78 : x
  2. Step 2: Convert to fraction form
    14,909.26/20,560.64 = 9,795.78/x
  3. Step 3: Cross multiply
    14,909.26x = 20,560.64 × 9,795.78
  4. Step 4: Simplify right side
    14,909.26x = 201,407,457.12
  5. Step 5: Solve for x
    x = 201,407,457.12/14,909.26
  6. Step 6: Final answer
    x = 13,508.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.