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Finding the Fourth Proportional to 14,008.56, 19,331.76 and 7,720.80

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Solution

The fourth proportional to 14,008.56, 19,331.76 and 7,720.80 is: 10,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.56 : 19,331.76 = 7,720.80 : x
  2. Step 2: Convert to fraction form
    14,008.56/19,331.76 = 7,720.80/x
  3. Step 3: Cross multiply
    14,008.56x = 19,331.76 × 7,720.80
  4. Step 4: Simplify right side
    14,008.56x = 149,256,652.61
  5. Step 5: Solve for x
    x = 149,256,652.61/14,008.56
  6. Step 6: Final answer
    x = 10,654.67

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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.