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Finding the Fourth Proportional to 13,954.72, 19,257.06 and 7,666.70

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Solution

The fourth proportional to 13,954.72, 19,257.06 and 7,666.70 is: 10,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.72 : 19,257.06 = 7,666.70 : x
  2. Step 2: Convert to fraction form
    13,954.72/19,257.06 = 7,666.70/x
  3. Step 3: Cross multiply
    13,954.72x = 19,257.06 × 7,666.70
  4. Step 4: Simplify right side
    13,954.72x = 147,638,101.90
  5. Step 5: Solve for x
    x = 147,638,101.90/13,954.72
  6. Step 6: Final answer
    x = 10,579.80

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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.