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Finding the Fourth Proportional to 14,156.75, 19,535.90 and 8,189.48

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Solution

The fourth proportional to 14,156.75, 19,535.90 and 8,189.48 is: 11,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.75 : 19,535.90 = 8,189.48 : x
  2. Step 2: Convert to fraction form
    14,156.75/19,535.90 = 8,189.48/x
  3. Step 3: Cross multiply
    14,156.75x = 19,535.90 × 8,189.48
  4. Step 4: Simplify right side
    14,156.75x = 159,988,723.71
  5. Step 5: Solve for x
    x = 159,988,723.71/14,156.75
  6. Step 6: Final answer
    x = 11,301.24

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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.