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Finding the Fourth Proportional to 13,952.72, 19,254.76 and 7,665.10

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Solution

The fourth proportional to 13,952.72, 19,254.76 and 7,665.10 is: 10,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.72 : 19,254.76 = 7,665.10 : x
  2. Step 2: Convert to fraction form
    13,952.72/19,254.76 = 7,665.10/x
  3. Step 3: Cross multiply
    13,952.72x = 19,254.76 × 7,665.10
  4. Step 4: Simplify right side
    13,952.72x = 147,589,660.88
  5. Step 5: Solve for x
    x = 147,589,660.88/13,952.72
  6. Step 6: Final answer
    x = 10,577.84

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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.