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Finding the Fourth Proportional to 14,122.11, 19,491.54 and 9,656.37

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Solution

The fourth proportional to 14,122.11, 19,491.54 and 9,656.37 is: 13,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.11 : 19,491.54 = 9,656.37 : x
  2. Step 2: Convert to fraction form
    14,122.11/19,491.54 = 9,656.37/x
  3. Step 3: Cross multiply
    14,122.11x = 19,491.54 × 9,656.37
  4. Step 4: Simplify right side
    14,122.11x = 188,217,522.11
  5. Step 5: Solve for x
    x = 188,217,522.11/14,122.11
  6. Step 6: Final answer
    x = 13,327.86

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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.