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Finding the Fourth Proportional to 14,135.99, 19,507.23 and 8,167.50

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Solution

The fourth proportional to 14,135.99, 19,507.23 and 8,167.50 is: 11,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.99 : 19,507.23 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    14,135.99/19,507.23 = 8,167.50/x
  3. Step 3: Cross multiply
    14,135.99x = 19,507.23 × 8,167.50
  4. Step 4: Simplify right side
    14,135.99x = 159,325,301.03
  5. Step 5: Solve for x
    x = 159,325,301.03/14,135.99
  6. Step 6: Final answer
    x = 11,270.90

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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.