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Finding the Fourth Proportional to 13,776.18, 20,656.05 and 5,457.36

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Solution

The fourth proportional to 13,776.18, 20,656.05 and 5,457.36 is: 8,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.18 : 20,656.05 = 5,457.36 : x
  2. Step 2: Convert to fraction form
    13,776.18/20,656.05 = 5,457.36/x
  3. Step 3: Cross multiply
    13,776.18x = 20,656.05 × 5,457.36
  4. Step 4: Simplify right side
    13,776.18x = 112,727,501.03
  5. Step 5: Solve for x
    x = 112,727,501.03/13,776.18
  6. Step 6: Final answer
    x = 8,182.78

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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.