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Finding the Fourth Proportional to 13,952.25, 19,254.11 and 7,665.03

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Solution

The fourth proportional to 13,952.25, 19,254.11 and 7,665.03 is: 10,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.25 : 19,254.11 = 7,665.03 : x
  2. Step 2: Convert to fraction form
    13,952.25/19,254.11 = 7,665.03/x
  3. Step 3: Cross multiply
    13,952.25x = 19,254.11 × 7,665.03
  4. Step 4: Simplify right side
    13,952.25x = 147,583,292.45
  5. Step 5: Solve for x
    x = 147,583,292.45/13,952.25
  6. Step 6: Final answer
    x = 10,577.74

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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.